A285285 Expansion of Product_{k>=1} (1 - x^k)^k/(1 - x^(5*k))^(5*k).

1, -1, -2, -1, 0, 9, -1, -3, -2, -2, 36, -22, -40, -34, -23, 154, -53, -89, -48, -4, 652, -161, -352, -293, -213, 1974, -813, -1416, -1198, -838, 6386, -2328, -3970, -3054, -1682, 20641, -5637, -10436, -8183, -4723, 59693, -17856, -32830, -28002, -19303

Offset

0,3

Links

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

Mathematica

nmax = 50; CoefficientList[Series[Product[(1 - x^k)^k/(1 - x^(5*k))^(5*k), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Apr 16 2017 *)

Crossrefs

Product_{k>=1} (1 - x^k)^k/(1 - x^(m*k))^(m*k): A285069 (m=2), A285247 (m=3), A285284 (m=4), this sequence (m=5).

Sequence in context: A202817 A322222 A265012 * A338858 A201897 A246658

Adjacent sequences: A285282 A285283 A285284 * A285286 A285287 A285288

Keyword

sign

Author

Seiichi Manyama, Apr 16 2017

Status

approved