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

Author

Jon Perry, Sep 21 2002

Keywords

• nonn

Examples

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

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..1103
• Rémy Sigrist, C program for A074300

Crossrefs

Cf. A000002, A022294.

Programs

C

See Links section.

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

Extensions

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