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 A370289 #8 Feb 14 2024 07:49:16
%S A370289 1,2,17,218,3404,59644,1127009,22459358,465607137,9951077822,
%T A370289 217885806069,4865577707714,110439841557271,2541477749853474,
%U A370289 59175695924948799,1391881305657110326,33029403365321798388,789910458837089959548,19021760426584464824327,460890588704491541298970
%N A370289 G.f.: exp( Sum_{k>=1} (3*k)! / (3 * k!^3) * x^k/k ).
%H A370289 Vaclav Kotesovec, <a href="/A370289/b370289.txt">Table of n, a(n) for n = 0..700</a>
%F A370289 G.f. A(x) = G(x)^(1/3), where G(x) is the g.f. for A229451.
%F A370289 G.f. A(x) = G(x)^2, where G(x) is the g.f. for A229452.
%F A370289 a(n) ~ c * 3^(3*n) / n^2, where c = 8 * 3^(1/2) * Pi * A370293^2 = 0.104583575...
%t A370289 CoefficientList[Series[Exp[Sum[(3*k)!/(3*k!^3)*x^k/k, {k, 1, 20}]], {x, 0, 20}], x]
%t A370289 CoefficientList[Series[Exp[2*x*HypergeometricPFQ[{1, 1, 4/3, 5/3}, {2, 2, 2}, 27*x]], {x, 0, 20}], x]
%Y A370289 Cf. A229452, A370288, A229451, A370293.
%K A370289 nonn
%O A370289 0,2
%A A370289 _Vaclav Kotesovec_, Feb 14 2024