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.

A255834 G.f.: Product_{k>=1} (1+x^k)^(2*k+1).

This page as a plain text file.
%I A255834 #9 Mar 08 2015 04:19:29
%S A255834 1,3,8,23,55,129,291,627,1317,2697,5398,10589,20421,38743,72452,
%T A255834 133724,243792,439496,784070,1385195,2424971,4209094,7247141,12383496,
%U A255834 21008559,35398548,59259781,98595110,163077878,268221706,438791204,714142139,1156552537
%N A255834 G.f.: Product_{k>=1} (1+x^k)^(2*k+1).
%H A255834 Vaclav Kotesovec, <a href="/A255834/b255834.txt">Table of n, a(n) for n = 0..1000</a>
%F A255834 a(n) ~ Zeta(3)^(1/6) * exp(-Pi^4 / (2592*Zeta(3)) + Pi^2 * n^(1/3) / (12*(3*Zeta(3))^(1/3)) + 3^(4/3)/2*Zeta(3)^(1/3) * n^(2/3)) / (2^(7/6)* 3^(1/3) * sqrt(Pi) * n^(2/3)), where Zeta(3) = A002117.
%t A255834 nmax=50; CoefficientList[Series[Product[(1+x^k)^(2*k+1),{k,1,nmax}],{x,0,nmax}],x]
%Y A255834 Cf. A026007, A120844, A219555, A255835, A255836.
%K A255834 nonn
%O A255834 0,2
%A A255834 _Vaclav Kotesovec_, Mar 07 2015