A294955 a(n) = Sum_{d|n} d^(2*n+2).

1, 65, 6562, 1049601, 244140626, 78368963450, 33232930569602, 18014467229220865, 12157665462543713203, 10000002384185795209930, 9849732675807611094711842, 11447546167874515876354097130, 15502932802662396215269535105522

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..213

Formula

G.f.: Sum_{k>0} k^(2*k+2)*x^k/(1-(k^2*x)^k).

Prog

(PARI) {a(n) = sigma(n, 2*n+2)}
(PARI) N=20; x='x+O('x^N); Vec(sum(k=1, N, k^(2*k+2)*x^k/(1-(k^2*x)^k)))

Crossrefs

Cf. A294645, A294810, A294953, A294954.

Sequence in context: A084272 A146756 A202386 * A115432 A116104 A116121

Adjacent sequences: A294952 A294953 A294954 * A294956 A294957 A294958

Keyword

nonn

Author

Seiichi Manyama, Nov 12 2017

Status

approved