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A074657
Number of Lyndon words (aperiodic necklaces) with 5n beads of 5 colors, n beads of each color.
1
1, 24, 11328, 11211192, 15277006080, 24934429725000, 45695805580701504, 90784545100668913368, 191417861328822311040000, 422458626725600682506889600, 966695515158024385775097720000, 2277925055026596846727033776223416, 5499697195473757755136472944165075200
OFFSET
0,2
FORMULA
1/(5n) * sum over d|n of {mu(n/d) * (5d)! / d!^5}.
CROSSREFS
a(n) = A074653(n)/5. a(n)=A074654(n)*24.
Sequence in context: A195681 A239166 A065236 * A208190 A338527 A284985
KEYWORD
nonn
AUTHOR
Christian G. Bower, Aug 29 2002
EXTENSIONS
a(0)=1 prepended by Alois P. Heinz, Aug 24 2015
STATUS
approved