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 A370288 #9 Feb 14 2024 07:50:01
%S A370288 1,3,27,352,5529,97092,1835873,36585987,758230146,16197642704,
%T A370288 354473912751,7911445710438,179479850071287,4128118899341085,
%U A370288 96071630789136060,2258659897520722978,53574405946963574691,1280717656016739805269,30828724750464602060491,746692595857870177801332
%N A370288 G.f.: exp( Sum_{k>=1} (3*k)! / (2 * k!^3) * x^k/k ).
%H A370288 Vaclav Kotesovec, <a href="/A370288/b370288.txt">Table of n, a(n) for n = 0..700</a>
%F A370288 G.f. A(x) = G(x)^(1/2), where G(x) is the g.f. for A229451.
%F A370288 G.f. A(x) = G(x)^3, where G(x) is the g.f. for A229452.
%F A370288 a(n) ~ c * 3^(3*n) / n^2, where c = 144 * Pi^2 * A370293^3 = 0.167361952...
%t A370288 CoefficientList[Series[Exp[Sum[(3*k)!/(2*k!^3)*x^k/k, {k, 1, 20}]], {x, 0, 20}], x]
%t A370288 CoefficientList[Series[Exp[3*x*HypergeometricPFQ[{1, 1, 4/3, 5/3}, {2, 2, 2}, 27*x]], {x, 0, 20}], x]
%Y A370288 Cf. A229452, A370289, A229451, A370293.
%K A370288 nonn
%O A370288 0,2
%A A370288 _Vaclav Kotesovec_, Feb 14 2024