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 A307442 #9 Apr 10 2019 06:16:09
%S A307442 1,2,9,54,379,2948,24736,220622,2074775,20491386,212312349,2310232488,
%T A307442 26473612772,320735694048,4126350096188,56601987176510,
%U A307442 830233489763775,13036492313617494,218958840306428947,3924128327446669670,74779561501535316579,1509296316416028136188
%N A307442 G.f. A(x) satisfies: A(x) = Sum_{k>=0} k!*x^k*A(x)^k/(1 - x*A(x))^(k+1).
%F A307442 G.f. A(x) satisfies: A(x) = Sum_{k>=0} A000522(k)*x^k*A(x)^k.
%F A307442 G.f.: A(x) = (1/x)*Series_Reversion(x/Sum_{k>=0} A000522(k)*x^k).
%F A307442 a(n) ~ exp(3) * n!. - _Vaclav Kotesovec_, Apr 10 2019
%e A307442 G.f.: A(x) = 1 + 2*x + 9*x^2 + 54*x^3 + 379*x^4 + 2948*x^5 + 24736*x^6 + 220622*x^7 + 2074775*x^8 + 20491386*x^9 + 212312349*x^10 + ...
%t A307442 terms = 22; CoefficientList[1/x InverseSeries[Series[x/(1 + Sum[Floor[Exp[1] k!] x^k, {k, 1, terms}]), {x, 0, terms}], x], x]
%t A307442 terms = 22; A[_] = 1; Do[A[x_] = Sum[k! x^k A[x]^k/(1 - x A[x])^(k + 1), {k, 0, j}] + O[x]^j, {j, 1, terms}]; CoefficientList[A[x], x]
%t A307442 terms = 22; A[_] = 1; Do[A[x_] = 1 + Sum[Floor[Exp[1] k!] x^k A[x]^k, {k, 1, j}] + O[x]^j, {j, 1, terms}]; CoefficientList[A[x], x]
%Y A307442 Cf. A000522, A088368, A307441, A307443, A307444.
%K A307442 nonn
%O A307442 0,2
%A A307442 _Ilya Gutkovskiy_, Apr 08 2019