A032254 "DHK" (bracelet, identity, unlabeled) transform of 1,2,3,4,...

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

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: A032233 A026530 A336135 * A323586 A048237 A048139

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