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 A193197 #8 Oct 21 2024 17:29:07
%S A193197 1,1,1,1,2,3,6,9,15,22,34,50,78,119,188,295,466,728,1134,1742,2659,
%T A193197 4018,6037,9018,13443,19993,29749,44274,65976,98372,146781,218922,
%U A193197 326290,485476,720817,1067293,1575713,2318852,3401845,4975174,7255629,10553845,15317091
%N A193197 G.f.: A(x) = Sum_{n>=0} x^(n^2) / Product_{k=1..n} (1 - x^k)^n.
%e A193197 G.f.: A(x) = 1 + x + x^2 + x^3 + 2*x^4 + 3*x^5 + 6*x^6 + 9*x^7 +...
%e A193197 where:
%e A193197 A(x) = 1 + x/(1-x) + x^4/((1-x)*(1-x^2))^2 + x^9/((1-x)*(1-x^2)*(1-x^3))^3 + x^16/((1-x)*(1-x^2)*(1-x^3)*(1-x^4))^4 +...
%o A193197 (PARI) {a(n)=local(A=1);polcoeff(sum(m=0,n,x^(m^2)/prod(k=1,m,1-x^k +x*O(x^n))^m),n)}
%K A193197 nonn
%O A193197 0,5
%A A193197 _Paul D. Hanna_, Jul 17 2011