A363777 Expansion of 1/(Sum_{k>=0} x^(k^3))^3.

1, -3, 6, -10, 15, -21, 28, -36, 42, -43, 36, -18, -14, 63, -132, 224, -336, 459, -578, 672, -714, 671, -504, 168, 378, -1161, 2184, -3419, 4794, -6183, 7396, -8169, 8169, -7014, 4308, 321, -7156, 16311, -27636, 40607, -54222, 66924, -76572, 80451, -75372, 57883

Offset: 0

Author

Seiichi Manyama, Jun 21 2023

Keywords

• sign
• easy

Crossrefs

Convolution inverse of A051343.

Column k=3 of A363779.

Cf. A363783.

Programs

PARI

my(N=50, x='x+O('x^N)); Vec(1/sum(k=0, N^(1/3), x^k^3)^3)

Formula

a(0) = 1; a(n) = -(3/n) * Sum_{k=1..n} A363783(k) * a(n-k).