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A022688 Expansion of Product_{m>=1} (1-m*q^m)^28. 2

%I #10 Sep 08 2022 08:44:46

%S 1,-28,322,-1792,3059,18788,-109970,96232,739669,-1676136,-2594074,

%T 6667864,22486226,-26768980,-188468912,174822312,845108712,-60897844,

%U -3216451658,-5497042096,11876402839,31175102772

%N Expansion of Product_{m>=1} (1-m*q^m)^28.

%H G. C. Greubel, <a href="/A022688/b022688.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^28, {k, 1, nmax}], {q, 0, nmax}], q]] (* _G. C. Greubel_, Jul 19 2018 *)

%o (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^28)) \\ _G. C. Greubel_, Jul 19 2018

%o (Magma) Coefficients(&*[(1-m*x^m)^28:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Jul 19 2018

%K sign

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)