A363713 Number of ways to write n as sum of a positive square and a positive fifth power.

0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0

Offset

1

Links

Table of n, a(n) for n=1..106.

Formula

G.f.: (Sum_{k>=1} x^(k^2)) * (Sum_{k>=1} x^(k^5)).

Crossrefs

Cf. A010052, A063725, A078359, A363711.

Cf. A100292, A363715.

Sequence in context: A033684 A080885 A258998 * A068716 A188020 A179828

Adjacent sequences: A363710 A363711 A363712 * A363714 A363715 A363716

Keyword

nonn,easy

Author

Seiichi Manyama, Jun 17 2023

Status

approved