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A032276 Number of bracelets (turn over necklaces) with n beads of 5 colors. 4
5, 15, 35, 120, 377, 1505, 5895, 25395, 110085, 493131, 2227275, 10196680, 46989185, 218102685, 1017448143, 4768969770, 22440372245, 105966797755, 501938733555, 2384200683816, 11353290089305 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..21.

C. G. Bower, Transforms (2)

F. Ruskey, Necklaces, Lyndon words, De Bruijn sequences, etc.

Index entries for sequences related to bracelets

FORMULA

"DIK" (bracelet, indistinct, unlabeled) transform of 5, 0, 0, 0...

G.f.: (1 - Sum_{n>=1} phi(n)*log(1 - 5*x^n)/n + (1+5*x+10*x^2)/(1-5*x^2))/2. - Herbert Kociemba, Nov 02 2016

MATHEMATICA

mx=40; CoefficientList[Series[(1-Sum[ EulerPhi[n]*Log[1-5*x^n]/n, {n, mx}]+(1+5 x+10 x^2)/(1-5 x^2))/2, {x, 0, mx}], x] (* Herbert Kociemba, Nov 02 2016 *)

CROSSREFS

Cf. a(n) = A081720(n,5), n>=1. [from Wolfdieter Lang, Jun 03 2012]

Sequence in context: A145454 A091875 A056413 * A065780 A220480 A105720

Adjacent sequences:  A032273 A032274 A032275 * A032277 A032278 A032279

KEYWORD

nonn

AUTHOR

Christian G. Bower

STATUS

approved

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Last modified February 27 06:25 EST 2017. Contains 282704 sequences.