A359265 Product_{n>=1} (1 + a(n) * x^n) = 1 + Sum_{n>=1} n^3 * x^n.

1, 8, 19, 45, -72, -224, -72, 3465, 1656, -4752, -31248, -440, 62064, 415008, 936432, 6776793, -16454232, -24983784, 74804904, 468856296, 236519784, -2495390904, -8714625696, -8228470832, 62274531168, 155889061848, -47291852448, -1334769988176, -4304113760232

Offset: 1

Author

Seiichi Manyama, Dec 28 2022

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000578, A147559, A147654, A316083.

Programs

Maple

S:= 1 + x*(x^2 + 4*x + 1)/(x - 1)^4:
for n from 1 to 30 do
  SS:= series(S,x,n+1);
  A[n]:= coeff(SS,x,n);
  S:= S/(1+A[n]*x^n);
od:
seq(A[i],i=1..30); # Robert Israel, Dec 28 2022