cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A022692 Expansion of Product_{m>=1} (1-m*q^m)^32.

This page as a plain text file.
%I A022692 #10 Sep 08 2022 08:44:46
%S A022692 1,-32,432,-3008,9144,15040,-217216,535104,868252,-6262496,3084192,
%T A022692 30773568,-9780096,-186954304,-120143680,1509279360,594179718,
%U A022692 -7348077952,-5674293872,21981855936,64543508768
%N A022692 Expansion of Product_{m>=1} (1-m*q^m)^32.
%H A022692 G. C. Greubel, <a href="/A022692/b022692.txt">Table of n, a(n) for n = 0..1000</a>
%t A022692 With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^32, {k, 1, nmax}], {q, 0, nmax}], q]] (* _G. C. Greubel_, Jul 19 2018 *)
%o A022692 (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^32)) \\ _G. C. Greubel_, Jul 19 2018
%o A022692 (Magma) Coefficients(&*[(1-m*x^m)^32:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Jul 19 2018
%K A022692 sign
%O A022692 0,2
%A A022692 _N. J. A. Sloane_