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A032245 "DHK" (bracelet, identity, unlabeled) transform of 1,1,1,1,... 1
1, 1, 1, 2, 2, 3, 4, 6, 10, 19, 35, 68, 133, 259, 500, 976, 1868, 3609, 6911, 13296, 25456, 48925, 93786, 180326, 346432, 667009, 1284331, 2477342, 4781021, 9240027, 17870724, 34604082, 67058896, 130085007, 252545177, 490722360 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

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

CROSSREFS

Sequence in context: A143588 A284908 A103599 * A013588 A108150 A066015

Adjacent sequences:  A032242 A032243 A032244 * A032246 A032247 A032248

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 16 12:35 EDT 2018. Contains 316263 sequences. (Running on oeis4.)