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 A376712 #5 Oct 02 2024 12:30:56 %S A376712 1,1,4,10,21,39,70,120,205,342,568,924,1490,2356,3684,5666,8619,12935, %T A376712 19230,28280,41260,59680,85740,122306,173447,244472,342774,478014, %U A376712 663391,916149,1259526,1723772,2349209,3188160,4309660,5803002,7785040,10406296,13862404 %N A376712 G.f.: Sum_{k>=0} x^(k^2) * Product_{j=1..k} 1/(1 - x^j)^4. %F A376712 a(n) ~ exp(2*Pi*sqrt(2*n/5)) / (5^(5/4) * (sqrt(5)-1)^2 * n^(3/2)). %t A376712 nmax = 40; CoefficientList[Series[Sum[x^(k^2)/Product[1-x^j, {j, 1, k}]^4, {k, 0, Sqrt[nmax]}], {x, 0, nmax}], x] %Y A376712 Cf. A003114, A000041, A376709. %K A376712 nonn %O A376712 0,3 %A A376712 _Vaclav Kotesovec_, Oct 02 2024