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List of palindromic subwords (or palindromic factors) of the Kolakoski sequence (A000002).
1

%I #10 Oct 03 2024 11:03:25

%S 1,2,11,22,121,212,1221,2112,11211,22122,121121,212212,1221221,

%T 2112112,12122121,21211212,112212211,221121122,1121221211,2212112122,

%U 12211211221,21122122112,122121121221,211212212112,1211221221121,2122112112212,11221211212211

%N List of palindromic subwords (or palindromic factors) of the Kolakoski sequence (A000002).

%C Empirically, for any m > 0, there are two m-digit terms, say w1 and w2, and replacing 1's by 2's and 2's by 1's in w1 yields w2.

%H Rémy Sigrist, <a href="/A376688/b376688.txt">Table of n, a(n) for n = 1..200</a>

%H Rémy Sigrist, <a href="/A376688/a376688.png">Representation of the 1's among the first 1000 terms starting with a digit 1</a>

%H Rémy Sigrist, <a href="/A376688/a376688.gp.txt">PARI program</a>

%H <a href="/index/K#Kolakoski">Index entries for sequences related to Kolakoski sequence</a>

%o (PARI) \\ See Links section.

%Y Intersection of A002113 and A376677.

%Y Cf. A000002, A307095.

%K nonn,base

%O 1,2

%A _Rémy Sigrist_, Oct 01 2024