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A054628 Number of n-bead necklaces with 9 colors. +0
2
0, 9, 45, 249, 1665, 11817, 88725, 683289, 5381685, 43046889, 348684381, 2852823609, 23535840225, 195528140649, 1634056945605, 13726075481049, 115813764494505, 981010688215689, 8338590871415805, 71097458824894329, 607883273127192897 (list; graph; listen)
OFFSET

0,2

LINKS

Index entries for sequences related to necklaces

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

(1/n)*Sum_{d|n} phi(d)*9^(n/d), n>0.

MAPLE

with(combstruct):A:=[N, {N=Cycle(Union(Z$9))}, unlabeled]: seq(count(A, size=n), n=0..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 05 2007

CROSSREFS

Column 9 of A075195.

Sequence in context: A111640 A024209 A026092 this_sequence A132133 A009410 A030113

Adjacent sequences: A054625 A054626 A054627 this_sequence A054629 A054630 A054631

KEYWORD

nonn

AUTHOR

njas, Apr 16 2000

EXTENSIONS

Edited by Christian G. Bower (bowerc(AT)usa.net), Sep 07 2002

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Last modified September 5 17:15 EDT 2008. Contains 143476 sequences.


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