A074300 Position of first repeat of the opening sequence of length n occurring after the first repeat of the opening sequence of length n-1 in the Kolakoski sequence (A000002).

4, 5, 7, 10, 25, 37, 55, 82, 137, 164, 205, 307, 460, 542, 1057, 1319, 1583, 1736, 1976, 2370, 2921, 3717, 4380, 4503, 4965, 5572, 6308, 6752, 7446, 10389, 10659, 12782, 15585, 15991, 19884, 20154, 23374, 23985, 24638, 26638, 27802, 30495, 35981, 45747, 53975

Offset

1,1

Links

Rémy Sigrist, Table of n, a(n) for n = 1..1103

Rémy Sigrist, C program for A074300

Example

a(3)=7 because A000002 begins 1,2,2 and this first repeats at position 7.

Maple

lim:=1000: s:=[1, 2, 2]: for n from 3 to lim do for i from 1 to s[n] do s:=[op(s), 1+((n-1)mod 2)]: od: od: k:=1: for n from 1 to 1400 do inseq:=true: for m from 1 to k do if(not s[n+m]=s[m])then inseq:=false:break: fi: od: if(inseq)then printf("%d, ", n+1): k:=k+1:fi: od: # Nathaniel Johnston, May 02 2011

Prog

(C) See Links section.

Crossrefs

Cf. A000002, A022294.

Sequence in context: A022936 A057708 A032686 * A344157 A047375 A358805

Adjacent sequences: A074297 A074298 A074299 * A074301 A074302 A074303

Keyword

nonn

Author

Jon Perry, Sep 21 2002

Extensions

Extended and edited by John W. Layman, Sep 28 2002

Status

approved