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 A367100 #7 Nov 04 2023 14:24:06
%S A367100 1,2,6,21,91,385,1837,8272,39732,185592,891024,4183040,20199964,
%T A367100 95232864,456282264,2162574984,10330196754,48834699384,232725598884,
%U A367100 1098684561984,5214388065324,24591671545164,116257200312444,546797015443194,2578396047478494,12098087101521510
%N A367100 a(n) = Sum_{k=0..n} A000108(k) * A000041(k).
%F A367100 a(n) ~ 2^(2*n) * exp(Pi*sqrt(2*n/3)) / (3^(3/2) * sqrt(Pi) * n^(5/2)).
%t A367100 Table[Sum[CatalanNumber[k]*PartitionsP[k], {k, 0, n}], {n, 0, 30}]
%Y A367100 Cf. A000041, A000108, A356269, A367101.
%K A367100 nonn
%O A367100 0,2
%A A367100 _Vaclav Kotesovec_, Nov 04 2023