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 A376711 #5 Oct 02 2024 12:30:44 %S A376711 1,0,1,4,10,20,36,60,98,156,250,396,631,992,1555,2400,3673,5536,8265, %T A376711 12176,17781,25692,36846,52404,74080,104028,145344,201972,279420, %U A376711 384764,527696,720668,980482,1328728,1794118,2413520,3235440,4321968,5754108,7635276,10099310 %N A376711 G.f.: Sum_{k>=0} x^(k*(k+1)) * Product_{j=1..k} 1/(1 - x^j)^4. %F A376711 a(n) ~ exp(2*Pi*sqrt(2*n/5)) / (4 * 5^(5/4) * n^(3/2)). %t A376711 nmax = 40; CoefficientList[Series[Sum[x^(k*(k+1))/Product[1-x^j, {j, 1, k}]^4, {k, 0, Sqrt[nmax]}], {x, 0, nmax}], x] %Y A376711 Cf. A003106, A064428, A376708. %K A376711 nonn %O A376711 0,4 %A A376711 _Vaclav Kotesovec_, Oct 02 2024