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 A349069 #10 Feb 16 2025 08:34:02
%S A349069 1,6,142,5724,324876,23761800,2126627016,225081383184,27498818692752,
%T A349069 3808595968290144,589662462800129760,100917872425324633536,
%U A349069 18918488805502510634688,3855242696428245589623936,848531650317994634533024896,200604383862593153678170272000
%N A349069 a(n) = H(n, 3*n), where H(n,x) is n-th Hermite polynomial.
%C A349069 In general, for k>=1, H(n,k*n) ~ exp(-1/(4*k^2)) * (2*k)^n * n^n.
%H A349069 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HermitePolynomial.html">Hermite Polynomial</a>.
%H A349069 Wikipedia, <a href="https://en.wikipedia.org/wiki/Hermite_polynomials">Hermite polynomial</a>.
%F A349069 a(n) ~ exp(-1/36) * 6^n * n^n.
%p A349069 a:= n-> simplify(HermiteH(n, 3*n)):
%p A349069 seq(a(n), n=0..20); # _Alois P. Heinz_, Nov 07 2021
%t A349069 Table[HermiteH[n, 3*n], {n, 0, 20}]
%Y A349069 Cf. A285270, A349067, A349068.
%K A349069 nonn
%O A349069 0,2
%A A349069 _Vaclav Kotesovec_, Nov 07 2021