A363777 - OEIS

%I #14 Jun 22 2023 07:20:49

%S 1,-3,6,-10,15,-21,28,-36,42,-43,36,-18,-14,63,-132,224,-336,459,-578,

%T 672,-714,671,-504,168,378,-1161,2184,-3419,4794,-6183,7396,-8169,

%U 8169,-7014,4308,321,-7156,16311,-27636,40607,-54222,66924,-76572,80451,-75372,57883

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

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

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

%Y Convolution inverse of A051343.

%Y Column k=3 of A363779.

%Y Cf. A363783.

%K sign,easy

%O 0,2

%A _Seiichi Manyama_, Jun 21 2023