A363711 Number of ways to write n as sum of a positive square and a positive fourth power.

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

Offset

1,17

Links

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

Formula

G.f.: (Sum_{k>=1} x^(k^2)) * (Sum_{k>=1} x^(k^4)).

Crossrefs

Cf. A010052, A063725, A078359, A363713.

Cf. A111925, A363714.

Sequence in context: A363127 A088534 A178602 * A216279 A025441 A286813

Adjacent sequences: A363708 A363709 A363710 * A363712 A363713 A363714

Keyword

nonn,easy

Author

Seiichi Manyama, Jun 17 2023

Status

approved