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A032286 "DIK" (bracelet, indistinct, unlabeled) transform of 5,5,5,5... 1
5, 20, 65, 240, 957, 4360, 21075, 107760, 566375, 3039903, 16529655, 90798535, 502567665, 2799313350, 15674233045, 88163236380, 497851322925, 2821131185200, 16035833020335, 91404088484949, 522308650924665, 2991403124124120, 17168050141237515, 98716282462085185 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..200

C. G. Bower, Transforms (2)

Index entries for sequences related to bracelets

FORMULA

G.f.: (5*x*(1+3*x+x^2)/((1-x)*(1-6*x^2)) + Sum_{d>0} phi(d)*log((1-x^d)/(1-6*x^d))/d)/2. - Andrew Howroyd, Jun 20 2018

PROG

(PARI) seq(n)={Vec(5*x*(1+3*x+x^2)/((1-x)*(1-6*x^2)) + sum(d=1, n, eulerphi(d)/d*log((1-x^d)/(1-6*x^d) + O(x*x^n))))/2} \\ Andrew Howroyd, Jun 20 2018

CROSSREFS

Cf. A032283.

Sequence in context: A120297 A271066 A271599 * A097552 A322600 A084850

Adjacent sequences:  A032283 A032284 A032285 * A032287 A032288 A032289

KEYWORD

nonn

AUTHOR

Christian G. Bower

EXTENSIONS

Terms a(21) and beyond from Andrew Howroyd, Jun 20 2018

STATUS

approved

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Last modified May 22 20:52 EDT 2022. Contains 353959 sequences. (Running on oeis4.)