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 A367101 #6 Nov 04 2023 14:23:31
%S A367101 1,2,4,14,42,168,696,2841,11421,50317,218277,923709,4043889,17416089,
%T A367101 76253769,338014584,1469460024,6395962044,28367342244,123799554504,
%U A367101 543903261384,2403339554904,10545287718864,46223487538464,203591793511992,893988182518176,3924601439423256
%N A367101 a(n) = Sum_{k=0..n} A000108(k) * A000009(k).
%F A367101 a(n) ~ 2^(2*n) * exp(Pi*sqrt(n/3)) / (3^(5/4) * sqrt(Pi) * n^(9/4)).
%t A367101 Table[Sum[CatalanNumber[k]*PartitionsQ[k], {k, 0, n}], {n, 0, 30}]
%Y A367101 Cf. A000009, A000108, A356270, A367100.
%K A367101 nonn
%O A367101 0,2
%A A367101 _Vaclav Kotesovec_, Nov 04 2023