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A022684
Expansion of Product_{m>=1} (1-m*q^m)^24.
2
1, -24, 228, -944, 114, 13920, -40824, -35568, 314943, -32016, -1256028, -1702560, 7990622, 15859872, -44241384, -69900560, 66340899, 389812176, 368445848, -1602538800, -2603154606, 114976000, 12365751792
OFFSET
0,2
COMMENTS
This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -24, g(n) = n. - Seiichi Manyama, Dec 29 2017
LINKS
MATHEMATICA
With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^24, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 19 2018 *)
PROG
(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1-n*q^n)^24)) \\ G. C. Greubel, Jul 19 2018
(Magma) Coefficients(&*[(1-m*x^m)^24:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 19 2018
CROSSREFS
Column k=24 of A297323.
Sequence in context: A181710 A201192 A345648 * A297752 A027275 A027260
KEYWORD
sign
STATUS
approved