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 A356287 #5 Aug 02 2022 05:51:37
%S A356287 1,4,19,187,1177,10186,84442,665842,5078668,42573268,343023418,
%T A356287 2665464058,21440629558,167644287550,1330569327310,10641989818078,
%U A356287 82797155054782,644097780350332,5102709814966162,39499844158337962,307777892529889642,2406854983109480302
%N A356287 a(n) = Sum_{k=0..n} binomial(3*k, k) * q(k), where q(k) is the number of partitions into distinct parts (A000009).
%F A356287 a(n) ~ 3^(3*n + 13/4) * exp(Pi*sqrt(n/3)) / (23 * sqrt(Pi) * n^(5/4) * 2^(2*n+3)).
%t A356287 Table[Sum[Binomial[3*k, k] * PartitionsQ[k], {k, 0, n}], {n, 0, 30}]
%Y A356287 Cf. A000009, A188675, A356270, A356286.
%K A356287 nonn
%O A356287 0,2
%A A356287 _Vaclav Kotesovec_, Aug 01 2022