A032243 "DHK" (bracelet, identity, unlabeled) transform of 1,0,1,0,... (odd).

1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 8, 11, 18, 31, 48, 79, 123, 203, 315, 514, 791, 1278, 1983, 3169, 4922, 7832, 12206, 19333, 30215, 47757, 74816, 118125, 185423, 292674, 460279, 726599, 1144508, 1807639, 2851366, 4506371, 7117308

Offset

0,9

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: A112708 A320009 A147558 * A153922 A153943 A361117

Adjacent sequences: A032240 A032241 A032242 * A032244 A032245 A032246

Keyword

nonn

Author

Christian G. Bower

Extensions

a(0)=1 prepended by Andrew Howroyd, Sep 21 2018

Status

approved