A286346 - OEIS

A286346

Expansion of eta(q)^24 / eta(q^2)^12 in powers of q.

1, -24, 264, -1760, 7944, -25872, 64416, -133056, 253704, -472760, 825264, -1297056, 1938336, -2963664, 4437312, -6091584, 8118024, -11368368, 15653352, -19822176, 24832944, -32826112, 42517728, -51425088, 61903776, -78146664, 98021616, -115331264, 133522752

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OFFSET

0,2

LINKS

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

Simon Plouffe, Conjectures of the OEIS, as of June 20, 2018.

FORMULA

a(n) = (-1)^n * A000145(n).

Euler Transform of [-24, -12, -24, -12, -24, -12, -24, -12, ...]. - Simon Plouffe, Jun 23 2018

MATHEMATICA

nmax = 20; CoefficientList[Series[Product[((1 - x^k)/(1 + x^k))^12, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Jul 10 2018 *)

a[n_] := (-1)^n SquaresR[12, n];