3404:
2113:
3399:{\displaystyle {\begin{matrix}&&\qquad &&\qquad &&\qquad &&+1x^{71}&\\-1x^{69}&-2x^{68}&-1x^{67}&+2x^{66}&+2x^{65}&+1x^{64}&-1x^{63}&-1x^{62}&-1x^{61}&-1x^{60}\\-1x^{59}&+2x^{58}&+5x^{57}&+3x^{56}&-2x^{55}&-10x^{54}&-3x^{53}&-2x^{52}&+6x^{51}&+6x^{50}\\+1x^{49}&+9x^{48}&-3x^{47}&-7x^{46}&-8x^{45}&-8x^{44}&+10x^{43}&+6x^{42}&+8x^{41}&-5x^{40}\\-12x^{39}&+7x^{38}&-7x^{37}&+7x^{36}&+1x^{35}&-3x^{34}&+10x^{33}&+1x^{32}&-6x^{31}&-2x^{30}\\-10x^{29}&-3x^{28}&+2x^{27}&+9x^{26}&-3x^{25}&+14x^{24}&-8x^{23}&&-7x^{21}&+9x^{20}\\+3x^{19}&-4x^{18}&-10x^{17}&-7x^{16}&+12x^{15}&+7x^{14}&+2x^{13}&-12x^{12}&-4x^{11}&-2x^{10}\\+5x^{9}&&+1x^{7}&-7x^{6}&+7x^{5}&-4x^{4}&+12x^{3}&-6x^{2}&+3x^{1}&-6x^{0}\\\end{matrix}}}
4236:
38:
3483:
3544:
beginning with the seed 1, the pea pattern proceeds 1, 11 ("one 1"), 21 ("two 1s"), 1211 ("one 2 and one 1"), 3112 ("three 1s and one 2"), 132112 ("one 3, two 1s and one 2"), 311322 ("three 1s, one 3 and two 2s"), etc. This version of the pea pattern eventually forms a cycle with the two "atomic" terms 23322114 and 32232114.
3547:
Other versions of the pea pattern are also possible; for example, instead of reading the digits as they first appear, one could read them in ascending order instead. In this case, the term following 21 would be 1112 ("one 1, one 2") and the term following 3112 would be 211213 ("two 1s, one 2 and one
3551:
These sequences differ in several notable ways from the look-and-say sequence. Notably, unlike the Conway sequences, a given term of the pea pattern does not uniquely define the preceding term. Moreover, for any seed the pea pattern produces terms of bounded length: This bound will not typically
3543:
There are many possible variations on the rule used to generate the look-and-say sequence. For example, to form the "pea pattern" one reads the previous term and counts all instances of each digit, listed in order of their first appearance, not just those occurring in a consecutive block. So
262:
asserts that every sequence eventually splits ("decays") into a sequence of "atomic elements", which are finite subsequences that never again interact with their neighbors. There are 92 elements containing the digits 1, 2, and 3 only, which John Conway named after the 92 naturally-occurring
2059:
3580:(30 digits for decimal radix) in length for long, degenerate, initial seeds (sequence of "100 ones", etc.). For these extreme cases, individual elements of decimal sequences immediately settle into a
1990:
41:
The lines show the growth of the numbers of digits in the look-and-say sequences with starting points 23 (red), 1 (blue), 13 (violet), 312 (green). These lines (when represented in a
79:
To generate a member of the sequence from the previous member, read off the digits of the previous member, counting the number of digits in groups of the same digit. For example:
228:
The sequence grows indefinitely. In fact, any variant defined by starting with a different integer seed number will (eventually) also grow indefinitely, except for the
3437:
4056:
1995:
4260:
2107:
2070:
239:
184:
175:
72:
250:
No digits other than 1, 2, and 3 appear in the sequence, unless the seed number contains such a digit or a run of more than three of the same digit.
3504:
3792:
3918:, Electronic Research Announcements of the American Mathematical Society, August 21, 1997, Vol. 5, pp. 78â82. Retrieved July 4, 2011.
3851:
201:
4029:
3967:
3941:
3760:
3530:
4130:
4270:
4049:
3508:
3452:
4275:
4144:
3493:
3455:, and the puzzle "What is the next number in the sequence 1, 11, 21, 1211, 111221?" is sometimes referred to as the
4265:
4042:
3813:
3512:
3497:
229:
3915:
1948:
3747:(1987). "The Weird and Wonderful Chemistry of Audioactive Decay". In Cover, Thomas M.; Gopinath, B. (eds.).
3663:
3784:
2080:
4235:
4086:
3647:
2084:. The same result also holds for every variant of the sequence starting with any seed other than 22.
279:" elements (Np and Pu) for each digit other than 1, 2, and 3. Below is a table of all such elements:
3465:
1942:
107:
31:
4240:
4106:
3882:
3744:
3722:
3668:
100:
4221:
4212:
4203:
4101:
4076:
3998:
3937:
3890:
3874:
3788:
3756:
3651:
42:
4198:
4193:
4188:
4183:
4178:
4111:
4096:
4065:
3866:
3415:
2074:
264:
58:
3956:
4149:
4081:
3776:
3752:
3726:
4001:
3412:
article, but in the reprinted version in the book edited by Cover and
Gopinath the term
3933:
3460:
209:
4254:
4154:
4135:
4125:
205:
65:
1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, 31131211131221, ... (sequence
3987:
4164:
4159:
4116:
3991:
3824:
1928:
The terms eventually grow in length by about 30% per generation. In particular, if
37:
2077:
of degree 71. This fact was proven by Conway, and the constant λ is known as
3581:
3482:
276:
50:
17:
3981:
3807:
3642:
Since the sequence is infinite, and the length of each element is bounded, it
2097:
200:
3878:
4006:
3828:
2093:
3984:
and telling that it took him some explanations to understand the sequence.
3673:
3886:
30:"Look-and-say" redirects here. For the method for learning to read, see
4015:
3639:
are placeholders for digit counts from the preceding sequence element.
3563:
268:
45:) tend to straight lines whose slopes coincide with Conway's constant.
3870:
2054:{\displaystyle \lim _{n\to \infty }{\frac {L_{n+1}}{L_{n}}}=\lambda }
212:
4034:
232:
sequence: 22, 22, 22, 22, ... which remains the same size.(sequence
121:
will remain indefinitely as the last digit of the sequence. For any
4025:
sequence A014715 (Decimal expansion of Conway's constant)
3852:"Look-and-Say Biochemistry: Exponential RNA and Multistranded DNA"
3574:
3556:
4021:
103:
after he was introduced to it by one of his students at a party.
3650:. As a consequence, pea pattern sequences are always eventually
4038:
3476:
4030:
A Derivation of Conwayâs Degree-71 âLook-and-Sayâ Polynomial
106:
The idea of the look-and-say sequence is similar to that of
4024:
2102:
2065:
234:
188:
170:
67:
95:
111221 is read off as "three 1s, two 2s, one 1" or 312211.
3717:
3715:
3713:
3711:
3447:
The look-and-say sequence is also popularly known as the
3408:
This polynomial was correctly given in Conway's original
3727:"The Weird and Wonderful Chemistry of Audioactive Decay"
3781:
Genius at Play: The
Curious Mind of John Horton Conway
2118:
3809:
Look-and-Say
Numbers (feat John Conway) - Numberphile
3418:
2116:
1998:
1951:
92:
1211 is read off as "one 1, one 2, two 1s" or 111221.
3439:
was incorrectly printed with a minus sign in front.
3865:(4). Mathematical association of America: 289â307.
160:Ilan Vardi has called this sequence, starting with
3431:
3398:
2053:
1984:
2000:
3749:Open Problems in Communication and Computation
204:Roots of the Conway polynomial plotted in the
125:other than 1, the sequence starts as follows:
4050:
3988:Implementations in many programming languages
2087:
8:
3845:
3843:
3841:
3839:
3837:
3916:Proof of Conway's lost cosmological theorem
3511:. Unsourced material may be challenged and
2063:where λ = 1.303577269034... (sequence
1583:111312211312113221133211322112211213322113
376:111312211312113221133211322112211213322112
4057:
4043:
4035:
281:
99:The look-and-say sequence was analyzed by
3531:Learn how and when to remove this message
3423:
3417:
3386:
3368:
3350:
3332:
3314:
3296:
3278:
3260:
3241:
3221:
3203:
3185:
3167:
3149:
3131:
3113:
3095:
3077:
3059:
3039:
3021:
3002:
2984:
2966:
2948:
2930:
2912:
2894:
2874:
2856:
2838:
2820:
2802:
2784:
2766:
2748:
2730:
2712:
2692:
2674:
2656:
2638:
2620:
2602:
2584:
2566:
2548:
2530:
2510:
2492:
2474:
2456:
2438:
2420:
2402:
2384:
2366:
2348:
2328:
2310:
2292:
2274:
2256:
2238:
2220:
2202:
2184:
2166:
2145:
2117:
2115:
2092:Conway's constant is the unique positive
2037:
2021:
2015:
2003:
1997:
1974:
1958:
1952:
1950:
89:21 is read off as "one 2, one 1" or 1211.
3930:Computational Recreations in Mathematica
1985:{\displaystyle {\frac {L_{n+1}}{L_{n}}}}
199:
36:
3707:
3691:
3689:
3685:
208:. Conway's constant is marked with the
2088:Conway's constant as a polynomial root
1941:-th member of the sequence, then the
7:
3831:, accessed on line February 4, 2011.
3509:adding citations to reliable sources
1937:denotes the number of digits of the
289:is included within the derivate of E
3982:Conway speaking about this sequence
1600:1321132122211322212221121123222113
393:1321132122211322212221121123222112
3459:, from a description of Morris in
2010:
25:
1894:1311222113321132211221121332211n
1549:13112221133211322112211213322113
342:13112221133211322112211213322112
86:11 is read off as "two 1s" or 21.
4261:Base-dependent integer sequences
4234:
3968:FAQ about Morris Number Sequence
3481:
4016:Look and Say sequence generator
2131:
2127:
2123:
83:1 is read off as "one 1" or 11.
3914:Ekhad, S. B., Zeilberger, D.:
3695:n can be any digit 4 or above.
3646:eventually repeat, due to the
2007:
285:All "atomic elements" (Where E
1:
3859:American Mathematical Monthly
1617:3113112211322112211213322113
1005:1113122113322113111221131221
410:3113112211322112211213322112
1911:31221132221222112112322211n
1566:312211322212221121123222113
359:312211322212221121123222112
4145:Quadratic irrational number
4131:PisotâVijayaraghavan number
869:11131221131211322113322112
4292:
246:Digits presence limitation
113:If started with any digit
43:logarithmic vertical scale
29:
4230:
4072:
1882:
1634:111312212221121123222113
1073:311311222113111221131221
427:111312212221121123222112
284:
988:12322211331222113112211
852:31131122211311122113222
4002:"Look and Say Sequence"
3629:where here the letters
1992:exists and is given by
275:. There are also two "
271:, calling the sequence
4271:Mathematical constants
4241:Mathematics portal
3957:Robert Morris Sequence
3850:Martin, Oscar (2006).
3570:) and may only exceed
3451:, after cryptographer
3449:Morris Number Sequence
3433:
3432:{\displaystyle x^{35}}
3400:
2055:
1986:
1056:132211331222113112211
220:
61:beginning as follows:
46:
3434:
3401:
2056:
1987:
1883:Transuranic elements
1022:13211322211312113211
886:13211321222113222112
203:
55:look-and-say sequence
40:
4087:Constructible number
3928:Vardi, Ilan (1991).
3755:. pp. 173â188.
3648:pigeonhole principle
3562:(22 digits for
3505:improve this section
3416:
2114:
1996:
1949:
260:cosmological theorem
59:sequence of integers
4213:Supersilver ratio (
4204:Supergolden ratio (
3664:Gijswijt's sequence
1651:132112211213322113
1209:311311222113111221
1090:111312211312113211
444:132112211213322112
108:run-length encoding
32:look-and-say method
4276:John Horton Conway
4107:Eisenstein integer
3999:Weisstein, Eric W.
3669:Kolakoski sequence
3429:
3396:
3394:
2051:
2014:
1982:
835:13221133122211332
298:Atomic number (n)
293:except Np and Pu)
254:Cosmological decay
221:
47:
4266:Algebraic numbers
4248:
4247:
4222:Twelfth root of 2
4102:Doubling the cube
4092:Conway's constant
4077:Algebraic integer
4066:Algebraic numbers
3794:978-1-62040-593-2
3541:
3540:
3533:
2096:of the following
2043:
1999:
1980:
1921:
1920:
1413:3113112221131112
903:3113112211322112
838:Eu.Ca.Ac.H.Ca.Zn
665:3113112221133112
265:chemical elements
117:from 0 to 9 then
16:(Redirected from
4283:
4239:
4238:
4216:
4207:
4199:Square root of 7
4194:Square root of 6
4189:Square root of 5
4184:Square root of 3
4179:Square root of 2
4172:
4168:
4139:
4120:
4112:Gaussian integer
4097:Cyclotomic field
4059:
4052:
4045:
4036:
4023:
4012:
4011:
3970:
3965:
3959:
3954:
3948:
3947:
3925:
3919:
3912:
3906:
3905:
3903:
3901:
3895:
3889:. Archived from
3871:10.2307/27641915
3856:
3847:
3832:
3822:
3816:
3810:
3805:
3799:
3798:
3777:Roberts, Siobhan
3773:
3767:
3766:
3741:
3731:
3725:(January 1986).
3719:
3696:
3693:
3638:
3628:
3627:
3579:
3569:
3561:
3536:
3529:
3525:
3522:
3516:
3485:
3477:
3466:The Cuckoo's Egg
3438:
3436:
3435:
3430:
3428:
3427:
3405:
3403:
3402:
3397:
3395:
3391:
3390:
3373:
3372:
3355:
3354:
3337:
3336:
3319:
3318:
3301:
3300:
3283:
3282:
3265:
3264:
3248:
3246:
3245:
3226:
3225:
3208:
3207:
3190:
3189:
3172:
3171:
3154:
3153:
3136:
3135:
3118:
3117:
3100:
3099:
3082:
3081:
3064:
3063:
3044:
3043:
3026:
3025:
3009:
3007:
3006:
2989:
2988:
2971:
2970:
2953:
2952:
2935:
2934:
2917:
2916:
2899:
2898:
2879:
2878:
2861:
2860:
2843:
2842:
2825:
2824:
2807:
2806:
2789:
2788:
2771:
2770:
2753:
2752:
2735:
2734:
2717:
2716:
2697:
2696:
2679:
2678:
2661:
2660:
2643:
2642:
2625:
2624:
2607:
2606:
2589:
2588:
2571:
2570:
2553:
2552:
2535:
2534:
2515:
2514:
2497:
2496:
2479:
2478:
2461:
2460:
2443:
2442:
2425:
2424:
2407:
2406:
2389:
2388:
2371:
2370:
2353:
2352:
2333:
2332:
2315:
2314:
2297:
2296:
2279:
2278:
2261:
2260:
2243:
2242:
2225:
2224:
2207:
2206:
2189:
2188:
2171:
2170:
2152:
2150:
2149:
2133:
2129:
2125:
2121:
2120:
2105:
2075:algebraic number
2068:
2060:
2058:
2057:
2052:
2044:
2042:
2041:
2032:
2031:
2016:
2013:
1991:
1989:
1988:
1983:
1981:
1979:
1978:
1969:
1968:
1953:
1924:Growth in length
1039:311322113212221
282:
237:
196:Basic properties
191:
173:
70:
27:Integer sequence
21:
4291:
4290:
4286:
4285:
4284:
4282:
4281:
4280:
4251:
4250:
4249:
4244:
4233:
4226:
4214:
4205:
4173:
4170:
4166:
4150:Rational number
4137:
4136:Plastic ratio (
4118:
4082:Chebyshev nodes
4068:
4063:
3997:
3996:
3978:
3973:
3966:
3962:
3955:
3951:
3944:
3927:
3926:
3922:
3913:
3909:
3899:
3897:
3893:
3854:
3849:
3848:
3835:
3825:Conway Sequence
3823:
3819:
3808:
3806:
3802:
3795:
3775:
3774:
3770:
3763:
3753:Springer-Verlag
3743:
3729:
3721:
3720:
3709:
3705:
3700:
3699:
3694:
3687:
3682:
3660:
3630:
3586:
3585:
3571:
3567:
3553:
3537:
3526:
3520:
3517:
3502:
3486:
3475:
3445:
3419:
3414:
3413:
3393:
3392:
3382:
3374:
3364:
3356:
3346:
3338:
3328:
3320:
3310:
3302:
3292:
3284:
3274:
3266:
3256:
3247:
3237:
3228:
3227:
3217:
3209:
3199:
3191:
3181:
3173:
3163:
3155:
3145:
3137:
3127:
3119:
3109:
3101:
3091:
3083:
3073:
3065:
3055:
3046:
3045:
3035:
3027:
3017:
3008:
2998:
2990:
2980:
2972:
2962:
2954:
2944:
2936:
2926:
2918:
2908:
2900:
2890:
2881:
2880:
2870:
2862:
2852:
2844:
2834:
2826:
2816:
2808:
2798:
2790:
2780:
2772:
2762:
2754:
2744:
2736:
2726:
2718:
2708:
2699:
2698:
2688:
2680:
2670:
2662:
2652:
2644:
2634:
2626:
2616:
2608:
2598:
2590:
2580:
2572:
2562:
2554:
2544:
2536:
2526:
2517:
2516:
2506:
2498:
2488:
2480:
2470:
2462:
2452:
2444:
2434:
2426:
2416:
2408:
2398:
2390:
2380:
2372:
2362:
2354:
2344:
2335:
2334:
2324:
2316:
2306:
2298:
2288:
2280:
2270:
2262:
2252:
2244:
2234:
2226:
2216:
2208:
2198:
2190:
2180:
2172:
2162:
2153:
2151:
2141:
2132:
2128:
2124:
2112:
2111:
2101:
2090:
2064:
2033:
2017:
1994:
1993:
1970:
1954:
1947:
1946:
1936:
1926:
1668:31121123222113
1481:11131221133112
1226:11131221131211
920:11131221222112
682:11131221131112
461:31121123222112
304:
301:Element name (E
292:
288:
256:
248:
233:
226:
198:
183:
169:
166:Conway sequence
66:
35:
28:
23:
22:
18:Conway constant
15:
12:
11:
5:
4289:
4287:
4279:
4278:
4273:
4268:
4263:
4253:
4252:
4246:
4245:
4231:
4228:
4227:
4225:
4224:
4219:
4210:
4201:
4196:
4191:
4186:
4181:
4176:
4169:
4165:Silver ratio (
4162:
4157:
4152:
4147:
4142:
4133:
4128:
4123:
4117:Golden ratio (
4114:
4109:
4104:
4099:
4094:
4089:
4084:
4079:
4073:
4070:
4069:
4064:
4062:
4061:
4054:
4047:
4039:
4033:
4032:
4027:
4019:
4013:
3994:
3985:
3977:
3976:External links
3974:
3972:
3971:
3960:
3949:
3942:
3934:Addison-Wesley
3920:
3907:
3833:
3817:
3800:
3793:
3768:
3761:
3706:
3704:
3701:
3698:
3697:
3684:
3683:
3681:
3678:
3677:
3676:
3671:
3666:
3659:
3656:
3539:
3538:
3489:
3487:
3480:
3474:
3471:
3461:Clifford Stoll
3444:
3443:Popularization
3441:
3426:
3422:
3389:
3385:
3381:
3378:
3375:
3371:
3367:
3363:
3360:
3357:
3353:
3349:
3345:
3342:
3339:
3335:
3331:
3327:
3324:
3321:
3317:
3313:
3309:
3306:
3303:
3299:
3295:
3291:
3288:
3285:
3281:
3277:
3273:
3270:
3267:
3263:
3259:
3255:
3252:
3249:
3244:
3240:
3236:
3233:
3230:
3229:
3224:
3220:
3216:
3213:
3210:
3206:
3202:
3198:
3195:
3192:
3188:
3184:
3180:
3177:
3174:
3170:
3166:
3162:
3159:
3156:
3152:
3148:
3144:
3141:
3138:
3134:
3130:
3126:
3123:
3120:
3116:
3112:
3108:
3105:
3102:
3098:
3094:
3090:
3087:
3084:
3080:
3076:
3072:
3069:
3066:
3062:
3058:
3054:
3051:
3048:
3047:
3042:
3038:
3034:
3031:
3028:
3024:
3020:
3016:
3013:
3010:
3005:
3001:
2997:
2994:
2991:
2987:
2983:
2979:
2976:
2973:
2969:
2965:
2961:
2958:
2955:
2951:
2947:
2943:
2940:
2937:
2933:
2929:
2925:
2922:
2919:
2915:
2911:
2907:
2904:
2901:
2897:
2893:
2889:
2886:
2883:
2882:
2877:
2873:
2869:
2866:
2863:
2859:
2855:
2851:
2848:
2845:
2841:
2837:
2833:
2830:
2827:
2823:
2819:
2815:
2812:
2809:
2805:
2801:
2797:
2794:
2791:
2787:
2783:
2779:
2776:
2773:
2769:
2765:
2761:
2758:
2755:
2751:
2747:
2743:
2740:
2737:
2733:
2729:
2725:
2722:
2719:
2715:
2711:
2707:
2704:
2701:
2700:
2695:
2691:
2687:
2684:
2681:
2677:
2673:
2669:
2666:
2663:
2659:
2655:
2651:
2648:
2645:
2641:
2637:
2633:
2630:
2627:
2623:
2619:
2615:
2612:
2609:
2605:
2601:
2597:
2594:
2591:
2587:
2583:
2579:
2576:
2573:
2569:
2565:
2561:
2558:
2555:
2551:
2547:
2543:
2540:
2537:
2533:
2529:
2525:
2522:
2519:
2518:
2513:
2509:
2505:
2502:
2499:
2495:
2491:
2487:
2484:
2481:
2477:
2473:
2469:
2466:
2463:
2459:
2455:
2451:
2448:
2445:
2441:
2437:
2433:
2430:
2427:
2423:
2419:
2415:
2412:
2409:
2405:
2401:
2397:
2394:
2391:
2387:
2383:
2379:
2376:
2373:
2369:
2365:
2361:
2358:
2355:
2351:
2347:
2343:
2340:
2337:
2336:
2331:
2327:
2323:
2320:
2317:
2313:
2309:
2305:
2302:
2299:
2295:
2291:
2287:
2284:
2281:
2277:
2273:
2269:
2266:
2263:
2259:
2255:
2251:
2248:
2245:
2241:
2237:
2233:
2230:
2227:
2223:
2219:
2215:
2212:
2209:
2205:
2201:
2197:
2194:
2191:
2187:
2183:
2179:
2176:
2173:
2169:
2165:
2161:
2158:
2155:
2154:
2148:
2144:
2140:
2137:
2134:
2130:
2126:
2122:
2119:
2089:
2086:
2050:
2047:
2040:
2036:
2030:
2027:
2024:
2020:
2012:
2009:
2006:
2002:
1977:
1973:
1967:
1964:
1961:
1957:
1932:
1925:
1922:
1919:
1918:
1915:
1912:
1909:
1906:
1902:
1901:
1898:
1897:Hf.Pa.H.Ca.Pu
1895:
1892:
1889:
1885:
1884:
1880:
1879:
1876:
1873:
1870:
1867:
1863:
1862:
1859:
1856:
1853:
1850:
1846:
1845:
1842:
1839:
1836:
1833:
1829:
1828:
1825:
1822:
1819:
1816:
1812:
1811:
1808:
1805:
1802:
1799:
1795:
1794:
1791:
1788:
1785:
1782:
1778:
1777:
1774:
1771:
1768:
1765:
1761:
1760:
1757:
1754:
1751:
1748:
1744:
1743:
1740:
1737:
1734:
1731:
1727:
1726:
1723:
1720:
1717:
1714:
1710:
1709:
1706:
1703:
1700:
1697:
1693:
1692:
1689:
1686:
1683:
1680:
1676:
1675:
1672:
1669:
1666:
1663:
1659:
1658:
1655:
1652:
1649:
1646:
1642:
1641:
1638:
1635:
1632:
1629:
1625:
1624:
1621:
1618:
1615:
1612:
1608:
1607:
1604:
1601:
1598:
1595:
1591:
1590:
1587:
1584:
1581:
1578:
1574:
1573:
1570:
1567:
1564:
1561:
1557:
1556:
1553:
1550:
1547:
1544:
1540:
1539:
1536:
1533:
1530:
1527:
1523:
1522:
1519:
1516:
1513:
1510:
1506:
1505:
1502:
1499:
1496:
1493:
1489:
1488:
1485:
1482:
1479:
1476:
1472:
1471:
1468:
1465:
1462:
1459:
1455:
1454:
1451:
1448:
1445:
1442:
1438:
1437:
1434:
1431:
1428:
1425:
1421:
1420:
1417:
1414:
1411:
1408:
1404:
1403:
1400:
1397:
1394:
1391:
1387:
1386:
1383:
1380:
1377:
1374:
1370:
1369:
1366:
1363:
1360:
1357:
1353:
1352:
1349:
1346:
1343:
1340:
1336:
1335:
1332:
1329:
1326:
1323:
1319:
1318:
1315:
1312:
1309:
1306:
1302:
1301:
1298:
1295:
1292:
1289:
1285:
1284:
1281:
1278:
1275:
1272:
1268:
1267:
1264:
1261:
1258:
1255:
1251:
1250:
1247:
1244:
1241:
1238:
1234:
1233:
1230:
1227:
1224:
1221:
1217:
1216:
1213:
1210:
1207:
1204:
1200:
1199:
1196:
1193:
1192:1322113312211
1190:
1187:
1183:
1182:
1179:
1176:
1173:
1170:
1166:
1165:
1162:
1159:
1156:
1153:
1149:
1148:
1145:
1142:
1139:
1136:
1132:
1131:
1128:
1125:
1122:
1119:
1115:
1114:
1111:
1108:
1105:
1102:
1098:
1097:
1094:
1091:
1088:
1085:
1081:
1080:
1077:
1074:
1071:
1068:
1064:
1063:
1060:
1057:
1054:
1051:
1047:
1046:
1043:
1040:
1037:
1034:
1030:
1029:
1026:
1023:
1020:
1017:
1013:
1012:
1009:
1006:
1003:
1000:
996:
995:
992:
989:
986:
983:
979:
978:
975:
972:
969:
966:
962:
961:
958:
955:
952:
949:
945:
944:
941:
938:
935:
932:
928:
927:
924:
921:
918:
915:
911:
910:
907:
904:
901:
898:
894:
893:
890:
887:
884:
881:
877:
876:
873:
870:
867:
864:
860:
859:
856:
853:
850:
847:
843:
842:
839:
836:
833:
830:
826:
825:
822:
819:
816:
813:
809:
808:
805:
802:
799:
796:
792:
791:
788:
785:
782:
779:
775:
774:
771:
768:
765:
762:
758:
757:
754:
751:
748:
745:
741:
740:
737:
734:
731:
728:
724:
723:
720:
717:
714:
711:
707:
706:
703:
700:
697:
694:
690:
689:
686:
683:
680:
677:
673:
672:
669:
668:Ho.Pa.H.Ca.Co
666:
663:
660:
656:
655:
652:
649:
646:
643:
639:
638:
635:
632:
629:
626:
622:
621:
618:
615:
612:
609:
605:
604:
601:
598:
595:
592:
588:
587:
584:
581:
578:
575:
571:
570:
567:
564:
561:
558:
554:
553:
550:
547:
544:
541:
537:
536:
533:
530:
527:
524:
520:
519:
516:
513:
510:
507:
503:
502:
499:
496:
493:
490:
486:
485:
482:
479:
476:
473:
469:
468:
465:
462:
459:
456:
452:
451:
448:
445:
442:
439:
435:
434:
431:
428:
425:
422:
418:
417:
414:
411:
408:
405:
401:
400:
397:
394:
391:
388:
384:
383:
380:
377:
374:
371:
367:
366:
363:
360:
357:
354:
350:
349:
346:
345:Hf.Pa.H.Ca.Li
343:
340:
337:
333:
332:
329:
326:
323:
320:
316:
315:
312:
309:
306:
302:
299:
295:
294:
290:
286:
255:
252:
247:
244:
225:
222:
197:
194:
158:
157:
97:
96:
93:
90:
87:
84:
77:
76:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
4288:
4277:
4274:
4272:
4269:
4267:
4264:
4262:
4259:
4258:
4256:
4243:
4242:
4237:
4229:
4223:
4220:
4218:
4211:
4209:
4202:
4200:
4197:
4195:
4192:
4190:
4187:
4185:
4182:
4180:
4177:
4175:
4163:
4161:
4158:
4156:
4155:Root of unity
4153:
4151:
4148:
4146:
4143:
4141:
4134:
4132:
4129:
4127:
4126:Perron number
4124:
4122:
4115:
4113:
4110:
4108:
4105:
4103:
4100:
4098:
4095:
4093:
4090:
4088:
4085:
4083:
4080:
4078:
4075:
4074:
4071:
4067:
4060:
4055:
4053:
4048:
4046:
4041:
4040:
4037:
4031:
4028:
4026:
4020:
4017:
4014:
4009:
4008:
4003:
4000:
3995:
3993:
3989:
3986:
3983:
3980:
3979:
3975:
3969:
3964:
3961:
3958:
3953:
3950:
3945:
3943:0-201-52989-0
3939:
3935:
3931:
3924:
3921:
3917:
3911:
3908:
3896:on 2006-12-24
3892:
3888:
3884:
3880:
3876:
3872:
3868:
3864:
3860:
3853:
3846:
3844:
3842:
3840:
3838:
3834:
3830:
3826:
3821:
3818:
3815:
3811:
3804:
3801:
3796:
3790:
3786:
3782:
3778:
3772:
3769:
3764:
3762:0-387-96621-8
3758:
3754:
3750:
3746:
3745:Conway, J. H.
3742:Reprinted as
3739:
3735:
3728:
3724:
3723:Conway, J. H.
3718:
3716:
3714:
3712:
3708:
3702:
3692:
3690:
3686:
3679:
3675:
3672:
3670:
3667:
3665:
3662:
3661:
3657:
3655:
3653:
3649:
3645:
3640:
3637:
3633:
3625:
3621:
3617:
3613:
3609:
3605:
3601:
3597:
3593:
3589:
3583:
3577:
3576:
3565:
3559:
3558:
3549:
3545:
3535:
3532:
3524:
3514:
3510:
3506:
3500:
3499:
3495:
3490:This section
3488:
3484:
3479:
3478:
3472:
3470:
3468:
3467:
3462:
3458:
3454:
3453:Robert Morris
3450:
3442:
3440:
3424:
3420:
3411:
3406:
3387:
3383:
3379:
3376:
3369:
3365:
3361:
3358:
3351:
3347:
3343:
3340:
3333:
3329:
3325:
3322:
3315:
3311:
3307:
3304:
3297:
3293:
3289:
3286:
3279:
3275:
3271:
3268:
3261:
3257:
3253:
3250:
3242:
3238:
3234:
3231:
3222:
3218:
3214:
3211:
3204:
3200:
3196:
3193:
3186:
3182:
3178:
3175:
3168:
3164:
3160:
3157:
3150:
3146:
3142:
3139:
3132:
3128:
3124:
3121:
3114:
3110:
3106:
3103:
3096:
3092:
3088:
3085:
3078:
3074:
3070:
3067:
3060:
3056:
3052:
3049:
3040:
3036:
3032:
3029:
3022:
3018:
3014:
3011:
3003:
2999:
2995:
2992:
2985:
2981:
2977:
2974:
2967:
2963:
2959:
2956:
2949:
2945:
2941:
2938:
2931:
2927:
2923:
2920:
2913:
2909:
2905:
2902:
2895:
2891:
2887:
2884:
2875:
2871:
2867:
2864:
2857:
2853:
2849:
2846:
2839:
2835:
2831:
2828:
2821:
2817:
2813:
2810:
2803:
2799:
2795:
2792:
2785:
2781:
2777:
2774:
2767:
2763:
2759:
2756:
2749:
2745:
2741:
2738:
2731:
2727:
2723:
2720:
2713:
2709:
2705:
2702:
2693:
2689:
2685:
2682:
2675:
2671:
2667:
2664:
2657:
2653:
2649:
2646:
2639:
2635:
2631:
2628:
2621:
2617:
2613:
2610:
2603:
2599:
2595:
2592:
2585:
2581:
2577:
2574:
2567:
2563:
2559:
2556:
2549:
2545:
2541:
2538:
2531:
2527:
2523:
2520:
2511:
2507:
2503:
2500:
2493:
2489:
2485:
2482:
2475:
2471:
2467:
2464:
2457:
2453:
2449:
2446:
2439:
2435:
2431:
2428:
2421:
2417:
2413:
2410:
2403:
2399:
2395:
2392:
2385:
2381:
2377:
2374:
2367:
2363:
2359:
2356:
2349:
2345:
2341:
2338:
2329:
2325:
2321:
2318:
2311:
2307:
2303:
2300:
2293:
2289:
2285:
2282:
2275:
2271:
2267:
2264:
2257:
2253:
2249:
2246:
2239:
2235:
2231:
2228:
2221:
2217:
2213:
2210:
2203:
2199:
2195:
2192:
2185:
2181:
2177:
2174:
2167:
2163:
2159:
2156:
2146:
2142:
2138:
2135:
2109:
2104:
2099:
2095:
2085:
2083:
2082:
2076:
2072:
2067:
2061:
2048:
2045:
2038:
2034:
2028:
2025:
2022:
2018:
2004:
1975:
1971:
1965:
1962:
1959:
1955:
1945:of the ratio
1944:
1940:
1935:
1931:
1923:
1916:
1913:
1910:
1907:
1904:
1903:
1899:
1896:
1893:
1890:
1887:
1886:
1881:
1878:102.56285249
1877:
1874:
1871:
1868:
1865:
1864:
1861:9883.5986392
1860:
1857:
1854:
1851:
1848:
1847:
1844:7581.9047125
1843:
1840:
1837:
1834:
1831:
1830:
1827:6926.9352045
1826:
1823:
1820:
1817:
1814:
1813:
1810:5313.7894999
1809:
1806:
1803:
1800:
1797:
1796:
1793:4076.3134078
1792:
1789:
1786:
1783:
1780:
1779:
1776:3127.0209328
1775:
1772:
1770:311311222113
1769:
1766:
1763:
1762:
1759:2398.7998311
1758:
1755:
1752:
1749:
1746:
1745:
1742:1840.1669683
1741:
1738:
1735:
1732:
1729:
1728:
1725:1411.6286100
1724:
1721:
1718:
1715:
1712:
1711:
1708:1082.8883285
1707:
1704:
1701:
1698:
1695:
1694:
1691:830.70513293
1690:
1687:
1685:111213322113
1684:
1681:
1678:
1677:
1674:637.25039755
1673:
1670:
1667:
1664:
1661:
1660:
1657:488.84742982
1656:
1653:
1650:
1647:
1644:
1643:
1640:375.00456738
1639:
1636:
1633:
1630:
1627:
1626:
1623:287.67344775
1622:
1619:
1616:
1613:
1610:
1609:
1606:220.68001229
1605:
1602:
1599:
1596:
1593:
1592:
1589:169.28801808
1588:
1585:
1582:
1579:
1576:
1575:
1572:315.56655252
1571:
1568:
1565:
1562:
1559:
1558:
1555:242.07736666
1554:
1552:Hf.Pa.H.Ca.W
1551:
1548:
1545:
1542:
1541:
1538:2669.0970363
1537:
1534:
1531:
1528:
1525:
1524:
1521:2047.5173200
1520:
1517:
1514:
1511:
1508:
1507:
1504:1570.6911808
1503:
1500:
1497:
1494:
1491:
1490:
1487:1204.9083841
1486:
1483:
1480:
1477:
1474:
1473:
1470:1098.5955997
1469:
1466:
1463:
1460:
1457:
1456:
1453:47987.529438
1452:
1449:
1446:
1443:
1440:
1439:
1436:36812.186418
1435:
1432:
1430:111312211312
1429:
1426:
1423:
1422:
1419:28239.358949
1418:
1415:
1412:
1409:
1406:
1405:
1402:21662.972821
1401:
1398:
1395:
1392:
1389:
1388:
1385:20085.668709
1384:
1381:
1378:
1375:
1372:
1371:
1368:15408.115182
1367:
1364:
1361:
1358:
1355:
1354:
1351:29820.456167
1350:
1347:
1344:
1341:
1338:
1337:
1334:22875.863883
1333:
1330:
1327:
1324:
1321:
1320:
1317:17548.529287
1316:
1313:
1310:
1307:
1304:
1303:
1300:13461.825166
1299:
1296:
1293:
1290:
1287:
1286:
1283:10326.833312
1282:
1279:
1276:
1273:
1270:
1269:
1266:7921.9188284
1265:
1262:
1259:
1256:
1253:
1252:
1249:6077.0611889
1248:
1245:
1242:
1239:
1236:
1235:
1232:4661.8342720
1231:
1228:
1225:
1222:
1219:
1218:
1215:3576.1856107
1214:
1211:
1208:
1205:
1202:
1201:
1198:2743.3629718
1197:
1194:
1191:
1188:
1185:
1184:
1181:2104.4881933
1180:
1177:
1174:
1171:
1168:
1167:
1164:1614.3946687
1163:
1160:
1157:
1154:
1151:
1150:
1147:1238.4341972
1146:
1143:
1140:
1137:
1134:
1133:
1130:950.02745646
1129:
1126:
1123:
1120:
1117:
1116:
1113:728.78492056
1112:
1109:
1107:132113212221
1106:
1103:
1100:
1099:
1096:559.06537946
1095:
1092:
1089:
1086:
1083:
1082:
1079:428.87015041
1078:
1075:
1072:
1069:
1066:
1065:
1062:328.99480576
1061:
1058:
1055:
1052:
1049:
1048:
1045:386.07704943
1044:
1041:
1038:
1035:
1032:
1031:
1028:296.16736852
1027:
1024:
1021:
1018:
1015:
1014:
1011:227.19586752
1010:
1007:
1004:
1001:
998:
997:
994:174.28645997
993:
990:
987:
984:
981:
980:
977:133.69860315
976:
973:
970:
967:
964:
963:
960:102.56285249
959:
956:
953:
950:
947:
946:
943:78.678000089
942:
939:
936:
933:
930:
929:
926:60.355455682
925:
922:
919:
916:
913:
912:
909:46.299868152
908:
905:
902:
899:
896:
895:
892:35.517547944
891:
888:
885:
882:
879:
878:
875:27.246216076
874:
871:
868:
865:
862:
861:
858:1887.4372276
857:
854:
851:
848:
845:
844:
841:1447.8905642
840:
837:
834:
831:
828:
827:
824:23571.391336
823:
820:
817:
814:
811:
810:
807:18082.082203
806:
803:
800:
797:
794:
793:
790:13871.123200
789:
786:
783:
780:
777:
776:
773:45645.877256
772:
769:
766:
763:
760:
759:
756:35015.858546
755:
752:
749:
746:
743:
742:
739:26861.360180
738:
735:
733:111311222112
732:
729:
726:
725:
722:20605.882611
721:
718:
715:
712:
709:
708:
705:15807.181592
704:
701:
698:
695:
692:
691:
688:12126.002783
687:
684:
681:
678:
675:
674:
671:9302.0974443
670:
667:
664:
661:
658:
657:
654:56072.543129
653:
650:
647:
644:
641:
640:
637:43014.360913
636:
633:
630:
627:
624:
623:
620:32997.170122
619:
616:
613:
610:
607:
606:
603:25312.784218
602:
599:
596:
593:
590:
589:
586:19417.939250
585:
582:
579:
576:
573:
572:
569:14895.886658
568:
565:
563:311311222112
562:
559:
556:
555:
552:32032.812960
551:
548:
545:
542:
539:
538:
535:24573.006696
534:
531:
528:
525:
522:
521:
518:18850.441228
517:
514:
511:
508:
505:
504:
501:14481.448773
500:
497:
494:
491:
488:
487:
484:11109.006696
483:
480:
478:111213322112
477:
474:
471:
470:
467:8521.9396539
466:
463:
460:
457:
454:
453:
450:6537.3490750
449:
446:
443:
440:
437:
436:
433:5014.9302464
432:
429:
426:
423:
420:
419:
416:3847.0525419
415:
412:
409:
406:
403:
402:
399:2951.1503716
398:
395:
392:
389:
386:
385:
382:2263.8860325
381:
378:
375:
372:
369:
368:
365:4220.0665982
364:
361:
358:
355:
352:
351:
348:3237.2968588
347:
344:
341:
338:
335:
334:
331:91790.383216
330:
327:
324:
321:
318:
317:
313:
310:
307:
300:
297:
296:
283:
280:
278:
274:
270:
266:
261:
253:
251:
245:
243:
241:
236:
231:
223:
218:
214:
211:
207:
206:complex plane
202:
195:
193:
190:
186:
181:
177:
172:
167:
163:
155:
152:, 31131122211
151:
147:
143:
139:
135:
131:
128:
127:
126:
124:
120:
116:
111:
109:
104:
102:
94:
91:
88:
85:
82:
81:
80:
74:
69:
64:
63:
62:
60:
56:
52:
44:
39:
33:
19:
4232:
4160:Salem number
4091:
4005:
3992:Rosetta Code
3963:
3952:
3929:
3923:
3910:
3898:. Retrieved
3891:the original
3862:
3858:
3820:
3803:
3780:
3771:
3748:
3737:
3733:
3643:
3641:
3635:
3631:
3623:
3619:
3615:
3611:
3607:
3603:
3599:
3595:
3591:
3587:
3584:of the form
3573:
3555:
3550:
3546:
3542:
3527:
3518:
3503:Please help
3491:
3464:
3457:Cuckoo's Egg
3456:
3448:
3446:
3409:
3407:
2091:
2078:
2062:
1938:
1933:
1929:
1927:
1396:13221133112
311:Decays into
272:
259:
257:
249:
227:
216:
210:Greek letter
179:
165:
161:
159:
153:
149:
145:
141:
137:
133:
129:
122:
118:
114:
112:
105:
98:
78:
54:
48:
3582:permutation
3560:+ 2 digits
1787:1113122113
1736:1113222113
1719:3113322113
1498:1321131112
1297:La.H.Ca.Co
1294:1321133112
1124:3113112211
937:1321122112
580:1113122112
529:1113222112
512:3113322112
277:transuranic
273:audioactive
148:, 111312211
101:John Conway
51:mathematics
4255:Categories
3900:January 6,
3785:Bloomsbury
3703:References
3568:radix = 10
3473:Variations
2100:(sequence
2098:polynomial
1702:123222113
1464:311311222
991:Y.H.Ca.Tc
495:123222112
314:Abundance
230:degenerate
168:(sequence
4007:MathWorld
3879:0002-9890
3829:MathWorld
3492:does not
3377:−
3341:−
3305:−
3269:−
3212:−
3194:−
3176:−
3104:−
3086:−
3068:−
3012:−
2993:−
2957:−
2903:−
2885:−
2865:−
2847:−
2793:−
2739:−
2703:−
2683:−
2611:−
2593:−
2575:−
2557:−
2465:−
2447:−
2429:−
2411:−
2339:−
2319:−
2301:−
2283:−
2265:−
2193:−
2175:−
2157:−
2094:real root
2079:Conway's
2049:λ
2011:∞
2008:→
1484:Er.Ca.Co
1399:Eu.Ca.Co
1365:Pm.Ca.Zn
1311:31131112
1243:13211321
1195:Eu.Ca.Sb
1141:11131221
1059:Eu.Ca.Tc
784:11133112
750:13122112
699:13211312
379:Ge.Ca.Li
308:Sequence
258:Conway's
182:= 2, see
164:= 3, the
3887:27641915
3779:(2015).
3674:Autogram
3658:See also
3652:periodic
3521:May 2022
3463:'s book
2081:constant
2073:) is an
1753:1322113
1586:Ge.Ca.W
1447:1321132
1379:1113222
1175:3112221
971:1112133
954:3112112
546:1322112
178:). (for
3814:YouTube
3740:: 5â16.
3564:decimal
3552:exceed
3513:removed
3498:sources
2106:in the
2103:A137275
2069:in the
2066:A014715
1804:132113
1515:311312
1362:311332
1328:111312
1260:311311
801:131112
597:132112
269:uranium
238:in the
235:A010861
189:A006751
187::
174:in the
171:A006715
144:, 13211
71:in the
68:A005150
57:is the
3940:
3885:
3877:
3791:
3759:
3734:Eureka
3578:digits
3410:Eureka
1773:Ho.At
1722:Pm.Pb
1532:11132
1467:Ho.Pm
1416:Ho.Gd
1277:11131
1212:Ho.Te
1178:Pm.Sn
1158:13211
1076:Ho.Ru
1008:Er.Zr
872:Ge.Na
855:Ho.Ga
787:Zn.Co
767:32112
736:Cr.Si
716:31132
566:Ho.Si
515:Pm.Na
267:up to
224:Growth
213:lambda
53:, the
3894:(PDF)
3883:JSTOR
3855:(PDF)
3730:(PDF)
3680:Notes
3575:Radix
3557:Radix
3548:3").
1943:limit
1838:1113
1821:3113
974:Sr.U
631:1112
614:3112
140:, 311
136:, 111
4022:OEIS
3938:ISBN
3902:2010
3875:ISSN
3789:ISBN
3757:ISBN
3644:must
3572:3 Ă
3554:2 Ă
3496:any
3494:cite
2108:OEIS
2071:OEIS
1345:132
818:312
240:OEIS
185:OEIS
176:OEIS
73:OEIS
3990:on
3867:doi
3863:113
3812:on
3507:by
2110:):
2001:lim
1914:Np
1908:Pu
1905:94
1891:Np
1888:93
1875:Pa
1866:92
1858:Th
1855:13
1852:Pa
1849:91
1841:Ac
1835:Th
1832:90
1824:Ra
1818:Ac
1815:89
1807:Fr
1801:Ra
1798:88
1790:Rn
1784:Fr
1781:87
1767:Rn
1764:86
1756:Po
1750:At
1747:85
1739:Bi
1733:Po
1730:84
1716:Bi
1713:83
1705:Tl
1699:Pb
1696:82
1688:Hg
1682:Tl
1679:81
1671:Au
1665:Hg
1662:80
1654:Pt
1648:Au
1645:79
1637:Ir
1631:Pt
1628:78
1620:Os
1614:Ir
1611:77
1603:Re
1597:Os
1594:76
1580:Re
1577:75
1569:Ta
1560:74
1546:Ta
1543:73
1535:Lu
1529:Hf
1526:72
1518:Yb
1512:Lu
1509:71
1501:Tm
1495:Yb
1492:70
1478:Tm
1475:69
1461:Er
1458:68
1450:Dy
1444:Ho
1441:67
1433:Tb
1427:Dy
1424:66
1410:Tb
1407:65
1393:Gd
1390:64
1382:Sm
1376:Eu
1373:63
1359:Sm
1356:62
1348:Nd
1342:Pm
1339:61
1331:Pr
1325:Nd
1322:60
1314:Ce
1308:Pr
1305:59
1291:Ce
1288:58
1280:Ba
1274:La
1271:57
1263:Cs
1257:Ba
1254:56
1246:Xe
1240:Cs
1237:55
1223:Xe
1220:54
1203:53
1189:Te
1186:52
1172:Sb
1169:51
1161:In
1155:Sn
1152:50
1144:Cd
1138:In
1135:49
1127:Ag
1121:Cd
1118:48
1110:Pd
1104:Ag
1101:47
1093:Rh
1087:Pd
1084:46
1070:Rh
1067:45
1053:Ru
1050:44
1042:Mo
1036:Tc
1033:43
1025:Nb
1019:Mo
1016:42
1002:Nb
999:41
985:Zr
982:40
965:39
957:Rb
951:Sr
948:38
940:Kr
934:Rb
931:37
923:Br
917:Kr
914:36
906:Se
900:Br
897:35
889:As
883:Se
880:34
866:As
863:33
849:Ge
846:32
832:Ga
829:31
821:Cu
815:Zn
812:30
804:Ni
798:Cu
795:29
781:Ni
778:28
770:Fe
764:Co
761:27
753:Mn
747:Fe
744:26
730:Mn
727:25
713:Cr
710:24
702:Ti
693:23
685:Sc
679:Ti
676:22
662:Sc
659:21
648:12
645:Ca
642:20
634:Ar
625:19
617:Cl
611:Ar
608:18
594:Cl
591:17
574:16
557:15
549:Al
543:Si
540:14
532:Mg
526:Al
523:13
509:Mg
506:12
498:Ne
492:Na
489:11
475:Ne
472:10
396:Be
373:Be
362:He
356:Li
339:He
325:22
291:k+1
156:, âŚ
132:, 1
49:In
4257::
4004:.
3936:.
3932:.
3881:.
3873:.
3861:.
3857:.
3836:^
3827:,
3787:.
3783:.
3751:.
3738:46
3736:.
3732:.
3710:^
3688:^
3654:.
3626:9
3622:8
3618:7
3614:6
3610:5
3606:4
3602:3
3598:2
3594:1
3590:0
3566::
3469:.
3425:35
3326:12
3223:10
3205:11
3187:12
3179:12
3169:13
3151:14
3133:15
3125:12
3115:16
3097:17
3089:10
3079:18
3061:19
3041:20
3023:21
3004:23
2986:24
2978:14
2968:25
2950:26
2932:27
2914:28
2896:29
2888:10
2876:30
2858:31
2840:32
2822:33
2814:10
2804:34
2786:35
2768:36
2750:37
2732:38
2714:39
2706:12
2694:40
2676:41
2658:42
2640:43
2632:10
2622:44
2604:45
2586:46
2568:47
2550:48
2532:49
2512:50
2494:51
2476:52
2458:53
2440:54
2432:10
2422:55
2404:56
2386:57
2368:58
2350:59
2330:60
2312:61
2294:62
2276:63
2258:64
2240:65
2222:66
2204:67
2186:68
2168:69
2147:71
1917:0
1900:0
1872:3
1869:U
1563:W
1229:I
1206:I
968:Y
719:V
696:V
651:K
628:K
600:S
583:P
577:S
560:P
481:F
464:O
458:F
455:9
447:N
441:O
438:8
430:C
424:N
421:7
413:B
407:C
404:6
390:B
387:5
370:4
353:3
336:2
328:H
322:H
319:1
305:)
242:)
219:).
192:)
110:.
75:).
4217:)
4215:Ď
4208:)
4206:Ď
4174:)
4171:S
4167:δ
4140:)
4138:Ď
4121:)
4119:Ď
4058:e
4051:t
4044:v
4018:p
4010:.
3946:.
3904:.
3869::
3797:.
3765:.
3636:j
3634:â
3632:a
3624:j
3620:i
3616:h
3612:g
3608:f
3604:e
3600:d
3596:c
3592:b
3588:a
3534:)
3528:(
3523:)
3519:(
3515:.
3501:.
3421:x
3388:0
3384:x
3380:6
3370:1
3366:x
3362:3
3359:+
3352:2
3348:x
3344:6
3334:3
3330:x
3323:+
3316:4
3312:x
3308:4
3298:5
3294:x
3290:7
3287:+
3280:6
3276:x
3272:7
3262:7
3258:x
3254:1
3251:+
3243:9
3239:x
3235:5
3232:+
3219:x
3215:2
3201:x
3197:4
3183:x
3165:x
3161:2
3158:+
3147:x
3143:7
3140:+
3129:x
3122:+
3111:x
3107:7
3093:x
3075:x
3071:4
3057:x
3053:3
3050:+
3037:x
3033:9
3030:+
3019:x
3015:7
3000:x
2996:8
2982:x
2975:+
2964:x
2960:3
2946:x
2942:9
2939:+
2928:x
2924:2
2921:+
2910:x
2906:3
2892:x
2872:x
2868:2
2854:x
2850:6
2836:x
2832:1
2829:+
2818:x
2811:+
2800:x
2796:3
2782:x
2778:1
2775:+
2764:x
2760:7
2757:+
2746:x
2742:7
2728:x
2724:7
2721:+
2710:x
2690:x
2686:5
2672:x
2668:8
2665:+
2654:x
2650:6
2647:+
2636:x
2629:+
2618:x
2614:8
2600:x
2596:8
2582:x
2578:7
2564:x
2560:3
2546:x
2542:9
2539:+
2528:x
2524:1
2521:+
2508:x
2504:6
2501:+
2490:x
2486:6
2483:+
2472:x
2468:2
2454:x
2450:3
2436:x
2418:x
2414:2
2400:x
2396:3
2393:+
2382:x
2378:5
2375:+
2364:x
2360:2
2357:+
2346:x
2342:1
2326:x
2322:1
2308:x
2304:1
2290:x
2286:1
2272:x
2268:1
2254:x
2250:1
2247:+
2236:x
2232:2
2229:+
2218:x
2214:2
2211:+
2200:x
2196:1
2182:x
2178:2
2164:x
2160:1
2143:x
2139:1
2136:+
2046:=
2039:n
2035:L
2029:1
2026:+
2023:n
2019:L
2005:n
1976:n
1972:L
1966:1
1963:+
1960:n
1956:L
1939:n
1934:n
1930:L
303:k
287:k
217:Îť
215:(
180:d
162:d
154:d
150:d
146:d
142:d
138:d
134:d
130:d
123:d
119:d
115:d
34:.
20:)
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