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A032244 "DHK" (bracelet, identity, unlabeled) transform of 0,1,1,1,... 1
1, 0, 1, 1, 1, 2, 2, 3, 3, 5, 5, 8, 10, 16, 21, 37, 51, 86, 127, 211, 319, 523, 796, 1288, 1988, 3180, 4928, 7844, 12212, 19346, 30222, 47771, 74823, 118140, 185431, 292690, 460287, 726616, 1144517, 1807657, 2851375, 4506390, 7117318 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

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

CROSSREFS

Sequence in context: A129526 A246998 A000358 * A166588 A277321 A262365

Adjacent sequences:  A032241 A032242 A032243 * A032245 A032246 A032247

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 19 22:28 EDT 2018. Contains 316378 sequences. (Running on oeis4.)