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 A301625 #5 Mar 26 2018 20:33:38 %S A301625 1,2,10,60,398,2820,20892,159868,1253758,10024070,81400672,669532924, %T A301625 5566386324,46701736772,394910202608,3362210548344,28797181196766, %U A301625 247955463799812,2145088563952510,18636002388075260,162523319555310664,1422259430668179592,12485554521209720492,109922263517662775292 %N A301625 G.f. A(x) satisfies: A(x) = Product_{k>=1} ((1 + x^k*A(x)^k)/(1 - x^k*A(x)^k))^k. %e A301625 G.f. A(x) = 1 + 2*x + 10*x^2 + 60*x^3 + 398*x^4 + 2820*x^5 + 20892*x^6 + 159868*x^7 + 1253758*x^8 + ... %e A301625 G.f. A(x) satisfies: A(x) = ((1 + x*A(x)) * (1 + x^2*A(x)^2)^2 * (1 + x^3*A(x)^3)^3 * ...)/((1 - x*A(x)) * (1 - x^2*A(x)^2)^2 * (1 - x^3*A(x)^3)^3 * ...). %e A301625 log(A(x)) = 2*x + 16*x^2/2 + 128*x^3/3 + 1056*x^4/4 + 8952*x^5/5 + 77200*x^6/6 + 673948*x^7/7 + 5937792*x^8/8 + ... + A270924(n)*x^n/n + ... %Y A301625 Cf. A006195, A066398, A109085, A156616, A181315, A270924, A278428, A301455, A301456, A301624. %K A301625 nonn %O A301625 0,2 %A A301625 _Ilya Gutkovskiy_, Mar 24 2018