A032244 "DHK" (bracelet, identity, unlabeled) transform of 0,1,1,1,...

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

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 * A342654 A166588 A277321

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