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A074419
Number of 5-ary 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
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.
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 }.
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