A285214 Expansion of Product_{k>=0} (1-x^(5*k+4))^(5*k+4).

1, 0, 0, 0, -4, 0, 0, 0, 6, -9, 0, 0, -4, 36, -14, 0, 1, -54, 92, -19, 0, 36, -228, 202, -24, -9, 272, -702, 358, -29, -158, 1168, -1696, 598, 2, -1027, 3810, -3605, 904, 423, -4600, 10196, -6898, 1240, 2990, -15805, 24104, -12242, 822, 14005, -46090, 51376

Offset: 0

Author

Seiichi Manyama, Apr 15 2017

Keywords

• sign

Links

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

Crossrefs

Product_{k>=0} (1-x^(m*k+m-1))^(m*k+m-1): A285069 (m=2), A285212 (m=3), A285213 (m=4), this sequence (m=5).

Cf. A285132.

Programs

Mathematica

nmax = 100; CoefficientList[Series[Product[(1-x^(5*k+4))^(5*k+4), {k,0,nmax}], {x,0,nmax}], x] (* Vaclav Kotesovec, Apr 15 2017 *)

PARI

x='x+O('x^100); Vec(prod(k=0, 100, (1 - x^(5*k + 4))^(5*k + 4))) \\ Indranil Ghosh, Apr 15 2017