

A074419


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


7



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


EXAMPLE

a(4;1,2)=5 since the five 5ary 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



