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!)
A022658 Expansion of Product_{m>=1} (1+m*q^m)^30. 2

%I #9 Sep 08 2022 08:44:46

%S 1,30,495,5950,58065,486606,3622850,24508320,153065370,893004950,

%T 4910926857,25638586740,127801113520,611122860870,2814360594975,

%U 12523572401730,54001382371560,226189483208580

%N Expansion of Product_{m>=1} (1+m*q^m)^30.

%H G. C. Greubel, <a href="/A022658/b022658.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax=50}, CoefficientList[Series[Product[(1+m*q^m)^30,{m,1,nmax}],{q,0,nmax}],q]] (* _G. C. Greubel_, Jul 18 2018 *)

%o (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^30)) \\ _G. C. Greubel_, Jul 18 2018

%o (Magma) Coefficients(&*[(1+m*x^m)^30:m in [1..40]])[1..50] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Jul 18 2018

%K nonn

%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 August 12 08:19 EDT 2024. Contains 375085 sequences. (Running on oeis4.)