A352529 Expansion of 1/Sum_{k>=0} x^(k^4).

1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, 1, -2, 3, -4, 5, -6, 7, -8, 9, -10, 11, -12, 13, -14, 15, -15, 14, -12, 9, -5, 0, 6, -13, 21, -30, 40, -51, 63, -76, 90, -105, 120, -134, 146, -155, 160, -160, 154, -141, 120, -90, 50, 1, -64, 140, -230, 335, -455, 589, -735, 890, -1050, 1210, -1364, 1505

Offset: 0

Author

Seiichi Manyama, Mar 19 2022

Keywords

• sign

Links

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

Crossrefs

Cf. A000583, A317665, A323633, A352530.

Programs

PARI

my(N=99, x='x+O('x^N)); Vec(1/sum(k=0, N^(1/4), x^k^4))

PARI

a(n) = if(n==0, 1, -sum(k=1, n, ispower(k, 4)*a(n-k)));