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 A292424 #11 Feb 02 2019 05:30:58 %S A292424 1,2,11,92,1080,16490,311238,7007796,183431836,5474465390, %T A292424 183502419505,6825981504602,279041903645153,12434720809043056, %U A292424 599929817745490600,31155278025923406979,1732781419647450834768,102761486514549541577999,6473124665688520200808139 %N A292424 a(n) = [x^n] Product_{k=1..n} 1/((1 - x)^k * (1 - x^k)). %H A292424 Vaclav Kotesovec, <a href="/A292424/b292424.txt">Table of n, a(n) for n = 0..368</a> %F A292424 a(n) ~ exp(n+2) * n^(n-1/2) / (sqrt(Pi) * 2^(n+1/2)). %t A292424 Table[SeriesCoefficient[Product[1/((1-x)^k * (1-x^k)), {k, 1, n}], {x, 0, n}], {n, 0, 20}] %t A292424 Table[SeriesCoefficient[Product[1/(1-x^k), {k, 1, n}] / (1-x)^(n*(n+1)/2), {x, 0, n}], {n, 0, 20}] %o A292424 (PARI) {a(n)= polcoef(prod(k=1, n, 1/((1-x)^k*(1-x^k) +x*O(x^n))), n)}; %o A292424 for(n=0,20, print1(a(n), ", ")) \\ _G. C. Greubel_, Feb 02 2019 %Y A292424 Cf. A292613. %K A292424 nonn %O A292424 0,2 %A A292424 _Vaclav Kotesovec_, Sep 20 2017