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 A280424 #4 Jan 02 2017 19:16:40 %S A280424 1,1,2,3,4,6,9,12,16,22,28,37,49,62,79,101,125,157,196,241,297,365, %T A280424 443,539,654,787,947,1137,1355,1616,1923,2276,2693,3179,3737,4391, %U A280424 5149,6018,7027,8191,9521,11057,12822,14831,17140,19779,22777,26206,30110,34534 %N A280424 G.f.: Product_{k>=1} (1 + x^k) / (1 - x^(k*(k+1))). %F A280424 a(n) ~ exp(sqrt(n/3)*Pi + 3^(1/4) * Zeta(3/2) * n^(1/4) / sqrt(2) - 3*Zeta(3/2)^2 / (16*Pi)) / (16 * 3^(3/4) * n^(5/4)). %t A280424 nmax=60; CoefficientList[Series[Product[(1+x^k)/(1-x^(k*(k+1))), {k, 1, nmax}], {x, 0, nmax}], x] %Y A280424 Cf. A007294, A000009, A280422. %K A280424 nonn %O A280424 0,3 %A A280424 _Vaclav Kotesovec_, Jan 02 2017