A284586 Expansion of Product_{k>=0} (1 - x^(6*k+5)) in powers of x.

1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 2, -1, 0, 0, 0, -1, 2, -1, 0, 0, 0, -1, 3, -1, 0, 0, 0, -2, 3, -1, 0, 0, 0, -3, 4, -1, 0, 0, 1, -4, 4, -1, 0, 0, 1, -5, 5, -1, 0, 0, 2, -7, 5, -1, 0, 0, 3, -8, 6, -1, 0, 0, 5

Offset: 0

Author

Seiichi Manyama, Mar 29 2017

Keywords

• sign

Crossrefs

Cf. Product_{k>=0} (1 - x^(6*k+m)): A284585 (m=1), this sequence (m=5).

Cf. A281244.

Programs

Mathematica

CoefficientList[Series[Product[1 - x^(6*k+5), {k, 0, 80}], {x, 0, 80}], x] (* Indranil Ghosh, Mar 29 2017 *)

Formula

a(n) = -(1/n)*Sum_{k=1..n} A284104(k)*a(n-k), a(0) = 1.