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A054625 Number of n-bead necklaces with 6 colors. +0
7
0, 6, 21, 76, 336, 1560, 7826, 39996, 210126, 1119796, 6047412, 32981556, 181402676, 1004668776, 5597460306, 31345666736, 176319474366, 995685849696, 5642220380006, 32071565263716, 182807925027504, 1044616697187576, 5982804736593846 (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)*6^(n/d), n>0.

MAPLE

with(combstruct):A:=[N, {N=Cycle(Union(Z$6))}, unlabeled]: seq(count(A, size=n), n=0..22); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 05 2007

CROSSREFS

Column 6 of A075195.

Cf. A054613.

Adjacent sequences: A054622 A054623 A054624 this_sequence A054626 A054627 A054628

Sequence in context: A027281 A006814 A108136 this_sequence A026628 A053768 A108306

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 October 12 15:26 EDT 2008. Contains 144830 sequences.


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