A285071 Expansion of Product_{k>=0} (1-x^(5*k+1))^(5*k+1).

1, -1, 0, 0, 0, 0, -6, 6, 0, 0, 0, -11, 26, -15, 0, 0, -16, 82, -86, 20, 0, -21, 172, -316, 180, -15, -26, 328, -872, 790, -226, -25, 538, -2043, 2681, -1310, 130, 843, -4184, 7426, -5390, 1365, 1158, -7855, 18067, -17705, 7185, 798, -13701, 39468, -50030

Offset: 0

Author

Seiichi Manyama, Apr 15 2017

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..10000 (terms 0..1000 from Vaclav Kotesovec)

Crossrefs

Product_{k>=0} (1-x^(m*k+1))^(m*k+1): A285069 (m=2), A285050 (m=3), A285070 (m=4), this sequence (m=5).

Cf. A285049, A285338.

Programs

Mathematica

nmax = 50; CoefficientList[Series[Product[(1-x^(5*k-4))^(5*k-4), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Apr 17 2017 *)