A074419 Number of 5-ary Lyndon words of length n over Z_5 with trace 1 and subtrace 2.

0, 0, 0, 5, 25, 107, 450, 1950, 8666, 39050, 177500, 813490, 3755048, 17437275, 81380200, 381473625, 1795156250, 8477100632, 40154687500, 190734843750, 908261160564, 4334882723750, 20732048658288, 99341072183730, 476837158203125, 2292486345026923

Offset

1,4

Comments

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

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)

Example

a(4;1,2)=5 since the five 5-ary Lyndon words of trace 1, subtrace 2 and length 4 are { 0222, 1113, 1244, 1424, 1442 }.

Crossrefs

Cf. A074414, A074415, A074416, A074417, A074418, A074420, A074421.

Sequence in context: A266424 A224129 A111641 * A247105 A272249 A275903

Adjacent sequences: A074416 A074417 A074418 * A074420 A074421 A074422

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