A285284 Expansion of Product_{k>=1} (1 - x^k)^k/(1 - x^(4*k))^(4*k).

1, -1, -2, -1, 4, 0, -4, 3, 21, -4, -29, -7, 51, -24, -105, -7, 201, -30, -291, 34, 642, -42, -874, 75, 1764, -262, -2737, -40, 4555, -818, -7512, 88, 12425, -1492, -19062, 1135, 32637, -2573, -47688, 3576, 81335, -6477, -119540, 6525, 193738, -18478, -292685

Offset: 0

Author

Seiichi Manyama, Apr 16 2017

Keywords

• sign

Links

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

Crossrefs

Product_{k>=1} (1 - x^k)^k/(1 - x^(m*k))^(m*k): A285069 (m=2), A285247 (m=3), this sequence (m=4), A285285 (m=5).

Cf. A285215, A285292.

Programs

Mathematica

nmax = 50; CoefficientList[Series[Product[(1 - x^k)^k/(1 - x^(4*k))^(4*k), {k,1,nmax}], {x,0,nmax}], x] (* Vaclav Kotesovec, Apr 16 2017 *)