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A320429 The length of the shortest prefix of the Thue-Morse word decomposable to not less than n palindromes. 0
1, 2, 6, 10, 26, 90, 154, 410, 1434, 2458, 6554, 22938, 39322, 104858, 367002, 629146, 1677722, 5872026, 10066330, 26843546, 93952410, 161061274, 429496730, 1503238554, 2576980378, 6871947674, 24051816858, 41231686042, 109951162778, 384829069722, 659706976666, 1759218604442, 6157265115546 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..33.

A. E. Frid, Prefix palindromic length of the Thue-Morse word, arXiv:1906.09392 [cs.DM] (2019).

FORMULA

a(n+3) = 16*a(n) - 6.

PROG

(PARI) a(n)=if(n<=3, [1, 2, 6][n], 16*a(n-3)-6); \\ Joerg Arndt, Aug 27 2019

CROSSREFS

Cf. Thue-Morse word A010060. Indices of new values of A307319.

Sequence in context: A162581 A061547 A218791 * A319014 A190034 A119459

Adjacent sequences:  A320426 A320427 A320428 * A320430 A320431 A320432

KEYWORD

easy,nonn

AUTHOR

Anna Frid, Aug 27 2019

STATUS

approved

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Last modified September 19 06:56 EDT 2021. Contains 347551 sequences. (Running on oeis4.)