A262874 Expansion of (Sum_{i>=0} x^(i^2)) * (Sum_{j>=0} x^(j^3)) * (Sum_{k>=0} x^(k^4)) / (1-x).

1, 4, 7, 8, 9, 11, 12, 12, 13, 16, 19, 20, 21, 22, 22, 22, 24, 29, 32, 32, 33, 34, 34, 34, 36, 40, 43, 45, 48, 49, 49, 50, 52, 55, 56, 56, 58, 61, 62, 62, 63, 64, 65, 67, 70, 71, 71, 72, 72, 74, 76, 77, 80, 82, 82, 82, 82, 83, 84, 85, 86, 86, 86, 87, 89, 92, 94, 94, 96, 97, 97

Offset

0,2

Comments

a(n) is number of nonnegative integer solutions (x,x,z,u) such that x + y^2 + z^3 + u^4 = n.

Links

Table of n, a(n) for n=0..70.

Formula

G.f.: (Sum_{i>=0} x^(i^2)) * (Sum_{j>=0} x^(j^3)) * (Sum_{k>=0} x^(k^4)) / (1-x).

Crossrefs

Cf. A003059, A262872.

Sequence in context: A180692 A004710 A060257 * A309264 A161986 A324940

Adjacent sequences: A262871 A262872 A262873 * A262875 A262876 A262877

Keyword

nonn

Author

Ran Pan, Oct 03 2015

Status

approved