A287619 Number of positive odd solutions to equation x^2 + 39y^2 = 8*(n + 5).

1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0

Offset

0,46

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Formula

Expansion of q^(-5) * (eta(q^2) * eta(q^78))^2 / (eta(q) * eta(q^39)) in powers of q.

Crossrefs

Cf. A035162, A128617.

Number of positive odd solutions to equation x^2 + (8*k - 1)*y^2 = 8*(n + k): A033782 (k=3), A033790 (k=4), this sequence (k=5), A033806 (k=6).

Sequence in context: A037845 A037881 A024326 * A133698 A219488 A370813

Adjacent sequences: A287616 A287617 A287618 * A287620 A287621 A287622

Keyword

nonn

Author

Seiichi Manyama, May 28 2017

Status

approved