A074420 Number of 5-ary Lyndon words of length n over Z_5 with trace 1 and subtrace 3.

0, 1, 2, 7, 25, 107, 450, 1965, 8666, 39050, 177500, 814006, 3756250, 17439507, 81380200, 381473625, 1795156250, 8477122367, 40154687500, 190734843750, 908261160564, 4334883611534, 20732050781250, 99341076252470, 476837158203125, 2292486345026923

Offset

1,3

Comments

Same as number of Lyndon words of length n over Z_5 with trace 2 and subtrace 2; trace 3 and subtrace 2; trace 4 and subtrace 3. Same as number of Lyndon words of length n over GF(5) with trace 1 and subtrace 3; trace 2 and subtrace 2; trace 3 and subtrace 2; trace 4 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, A074416, A074417, A074418, A074419, A074421.

Sequence in context: A150530 A150531 A150532 * A005034 A350796 A245157

Adjacent sequences: A074417 A074418 A074419 * A074421 A074422 A074423

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