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A032255 "DHK" (bracelet, identity, unlabeled) transform of 1,3,5,7,... 1
1, 1, 3, 8, 15, 34, 70, 162, 388, 1020, 2729, 7580, 21112, 59398, 166990, 471635, 1332492, 3776712, 10721570, 30518960, 87046334, 248852142, 712831894, 2045974474, 5882821341, 16943916873, 48878646537, 141209193981 (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)/(1-x)^2 + O(x*x^n), n))} \\ Andrew Howroyd, Sep 21 2018

CROSSREFS

Sequence in context: A090741 A255835 A032234 * A137475 A176433 A132810

Adjacent sequences:  A032252 A032253 A032254 * A032256 A032257 A032258

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 20 11:17 EDT 2018. Contains 316379 sequences. (Running on oeis4.)