A022671 Expansion of Product_{m >= 1} (1-m*q^m)^11.

1, -11, 33, 44, -341, 88, 1023, 1287, -2959, -12958, 9119, 27103, 45529, 8349, -269324, -262218, -83688, 1326985, 2245881, -109131, -2655939, -12119899, -13052019, 1449316, 49891809, 98829445, 62513847, -67450570, -406154540, -631008378, -597001801, 801699162, 2523580444, 4221608313

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000

Programs

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

Mathematica

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

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^11)) \\ G. C. Greubel, Feb 24 2018

Extensions

Terms a(28) onward added by G. C. Greubel, Feb 24 2018