A074416 - OEIS

A074416

Number of 5-ary Lyndon words of length n over Z_5 with trace 0 and subtrace 2.

0, 0, 2, 7, 30, 107, 450, 1935, 8666, 38990, 177500, 813490, 3756250, 17439507, 81385410, 381473625, 1795156250, 8477078967, 40154687500, 190734746125, 908261160564, 4334882723750, 20732050781250, 99341076252470, 476837167968750, 2292486345026923

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OFFSET

1,3

COMMENTS

Same as number of Lyndon words of length n over Z_5 with trace 0 and subtrace 3.

Same as number of Lyndon words of length n over GF(5) with trace 0 and subtrace 2.

Same as number of Lyndon words of length n over GF(5) with trace 0 and subtrace 3.

LINKS

Table of n, a(n) for n=1..26.

Max Alekseyev, PARI/GP scripts for miscellaneous math problems

F. Ruskey, 5-ary Lyndon words with given trace and subtrace

F. Ruskey, 5-ary Lyndon words with given trace and subtrace over GF(5)

CROSSREFS

Cf. A074414, A074415, A074417, A074418, A074419, A074420, A074421.

Sequence in context: A042913 A041805 A173233 * A325577 A097924 A375444

Adjacent sequences: A074413 A074414 A074415 * A074417 A074418 A074419

KEYWORD

easy,nonn

AUTHOR

Frank Ruskey and Nate Kube, Aug 22 2002

EXTENSIONS

Terms a(16) onward from Max Alekseyev, Apr 09 2013

STATUS

approved