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A286346 Expansion of eta(q)^24 / eta(q^2)^12 in powers of q. 7
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 (list; graph; refs; listen; history; text; internal format)
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 *)

PROG

(PARI) q = 'q + O('q^50); Vec(eta(q)^24 / eta(q^2)^12) \\ Michel Marcus, Jul 07 2018

CROSSREFS

Cf. A000145, A013973 (E_6).

Sequence in context: A296916 A187380 A000145 * A126904 A001413 A022065

Adjacent sequences:  A286343 A286344 A286345 * A286347 A286348 A286349

KEYWORD

sign

AUTHOR

Seiichi Manyama, May 08 2017

STATUS

approved

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Last modified June 2 07:15 EDT 2020. Contains 334767 sequences. (Running on oeis4.)