A022671 - OEIS

%I #11 Sep 08 2022 08:44:46

%S 1,-11,33,44,-341,88,1023,1287,-2959,-12958,9119,27103,45529,8349,

%T -269324,-262218,-83688,1326985,2245881,-109131,-2655939,-12119899,

%U -13052019,1449316,49891809,98829445,62513847,-67450570,-406154540,-631008378,-597001801,801699162,2523580444,4221608313

%N Expansion of Product_{m >= 1} (1-m*q^m)^11.

%H G. C. Greubel, <a href="/A022671/b022671.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^11, {k, 1, nmax}], {q, 0, nmax}], q]] (* _G. C. Greubel_, Feb 24 2018 *)

%o (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^11)) \\ _G. C. Greubel_, Feb 24 2018

%o (Magma) Coefficients(&*[(1-m*x^m)^11:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Feb 24 2018

%K sign

%O 0,2

%A _N. J. A. Sloane_

%E Terms a(28) onward added by _G. C. Greubel_, Feb 24 2018