A074415 Number of 5-ary Lyndon words of length n over Z_5 with trace 0 and subtrace 1.

0, 1, 2, 5, 20, 99, 450, 1965, 8666, 38985, 177500, 814006, 3756250, 17437275, 81374990, 381463875, 1795156250, 8477122367, 40154687500, 190734746125, 908261160564, 4334883611534, 20732050781250, 99341072183730, 476837148437500, 2292486326246875

Offset

1,3

Comments

Same as number of Lyndon words of length n over Z_5 with trace 0 and subtrace 4. Same as number of Lyndon words of length n over GF(5) with trace 0 and subtrace 1. Same as number of Lyndon words of length n over GF(5) with trace 0 and subtrace 4.

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, A074416, A074417, A074418, A074419, A074420, A074421.

Sequence in context: A214816 A020005 A259834 * A020001 A348597 A370699

Adjacent sequences: A074412 A074413 A074414 * A074416 A074417 A074418

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