login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A022691 Expansion of Product_{m>=1} (1-m*q^m)^31. 2

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

%S 1,-31,403,-2666,7254,17329,-187488,384865,916050,-4785594,267220,

%T 23607058,8499735,-138349218,-198872750,1055690151,1063384258,

%U -4561862102,-6887455628,9053067640,53042071422

%N Expansion of Product_{m>=1} (1-m*q^m)^31.

%H G. C. Greubel, <a href="/A022691/b022691.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^31, {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)^31)) \\ _G. C. Greubel_, Jul 19 2018

%o (Magma) Coefficients(&*[(1-m*x^m)^31: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_

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 17:39 EDT 2024. Contains 371797 sequences. (Running on oeis4.)