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 A370326 #8 Feb 15 2024 11:43:28
%S A370326 1,2,16,200,3376,71552,1822144,54131072,1836436480,70016026112,
%T A370326 2962490758144,137711245058048,6974788150104064,382232015239454720,
%U A370326 22531888624878813184,1421482338801856053248,95553266255536369893376,6817598649041309962600448,514534725049116493981941760
%N A370326 E.g.f.: exp(Sum_{k>=1} binomial(2*k,k) * x^k).
%F A370326 E.g.f.: exp(1/sqrt(1 - 4*x) - 1).
%F A370326 a(n) ~ exp(3*n^(1/3)/2^(2/3) - n - 1) * 2^(2*n + 1/6) * n^(n - 1/3) / sqrt(3).
%t A370326 CoefficientList[Series[Exp[Sum[Binomial[2*k,k]*x^k, {k, 1, 20}]], {x, 0, 20}], x] * Range[0, 20]!
%t A370326 CoefficientList[Series[Exp[1/Sqrt[1 - 4*x] - 1], {x, 0, 20}], x] * Range[0, 20]!
%Y A370326 Cf. A000984, A065866, A213507, A251568, A370327.
%K A370326 nonn
%O A370326 0,2
%A A370326 _Vaclav Kotesovec_, Feb 15 2024