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

Author

Seiichi Manyama, Jun 17 2023

Keywords

• nonn
• easy

Crossrefs

Cf. A010052, A063725, A078359, A363713.

Cf. A111925, A363714.

Formula

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