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A032254 "DHK" (bracelet, identity, unlabeled) transform of 1,2,3,4,... 1
1, 1, 2, 5, 8, 16, 29, 59, 124, 287, 670, 1634, 3992, 9867, 24320, 60290, 149124, 370146, 918796, 2286685, 5697484, 14227797, 35583724, 89168380, 223794690, 562624780, 1416520302, 3571567951, 9017077418, 22794093212 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..500

C. G. Bower, Transforms (2)

PROG

(PARI)

DHK(p, n)={my(q=((1+p)^2/(1-subst(p, x, x^2))-1)/2); p + (p^2-subst(p, x, x^2))/2 + sum(d=1, n, moebius(d)*(log(subst(1/(1+O(x*x^(n\d))-p), x, x^d))/d - subst(q + O(x*x^(n\d)), x, x^d)))/2}

seq(n)={Vec(1 + DHK(x/(1-x)^2 + O(x*x^n), n))} \\ Andrew Howroyd, Sep 21 2018

CROSSREFS

Sequence in context: A026007 A032233 A026530 * A048237 A048139 A071085

Adjacent sequences:  A032251 A032252 A032253 * A032255 A032256 A032257

KEYWORD

nonn

AUTHOR

Christian G. Bower

EXTENSIONS

a(0)=1 prepended by Andrew Howroyd, Sep 21 2018

STATUS

approved

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Last modified October 22 21:09 EDT 2018. Contains 316505 sequences. (Running on oeis4.)