A285212 Expansion of Product_{k>=0} (1-x^(3*k+2))^(3*k+2).

1, 0, -2, 0, 1, -5, 0, 10, -8, -5, 26, -11, -28, 62, -4, -101, 111, 43, -260, 182, 228, -583, 202, 715, -1155, 25, 1888, -2034, -851, 4286, -3144, -3418, 8895, -3888, -9806, 16848, -2479, -23812, 29519, 5626, -52156, 46930, 30033, -105320, 66001, 90431, -198736

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), this sequence (m=3), A285213 (m=4), A285214 (m=5).

Cf. A262946.

Programs

Mathematica

nmax = 100; CoefficientList[Series[Product[(1-x^(3*k+2))^(3*k+2), {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^(3*k + 2))^(3*k + 2))) \\ Indranil Ghosh, Apr 15 2017