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

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 A027136

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