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.
%I A305121 #7 May 26 2018 13:00:20 %S A305121 0,0,1,1,2,3,7,9,14,20,32,43,63,85,122,162,221,292,396,514,680,878, %T A305121 1147,1465,1886,2391,3050,3836,4841,6048,7579,9403,11685,14419,17806, %U A305121 21845,26810,32725,39947,48528,58926,71267,86151,103750,124860,149791,179551 %N A305121 G.f.: Sum_{k>=1} x^(2*k)/(1+x^(2*k)) * Product_{k>=1} 1/(1-x^k). %H A305121 Vaclav Kotesovec, <a href="/A305121/b305121.txt">Table of n, a(n) for n = 0..10000</a> %F A305121 For n > 0, a(n) = A209423(n) - A305123(n). %F A305121 a(n) ~ log(2) * exp(Pi*sqrt(2*n/3)) / (2^(5/2)*Pi*sqrt(n)). %t A305121 nmax = 60; CoefficientList[Series[Sum[x^(2*k)/(1+x^(2*k)), {k, 1, nmax}] * Product[1/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x] %Y A305121 Cf. A006128, A209423, A066898, A066897, A305123. %Y A305121 Cf. A116680, A305122. %K A305121 nonn %O A305121 0,5 %A A305121 _Vaclav Kotesovec_, May 26 2018