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 A337551 #6 Aug 31 2020 10:08:12
%S A337551 1,1,5,2317,153143499,2331601789103231,13956629370284243750857868,
%T A337551 50423205212193924706520234988903231406,
%U A337551 154976268837151170420647979803561273009994277188269267,540838714291102105296873678266047207577891369813629960678503735540658879
%N A337551 Diagonal of A304320.
%H A337551 Vaclav Kotesovec, <a href="/A337551/b337551.txt">Table of n, a(n) for n = 0..26</a>
%F A337551 a(n) ~ n^(n^2) / n!.
%F A337551 a(n) ~ exp(n) * n^(n^2 - n - 1/2) / sqrt(2*Pi).
%o A337551 (PARI) {T(n, k) = my(A=[1], m); for(i=1, k, A=concat(A, 0); m=#A; A[m] = Vec( exp(x*(m-1)^n +x*O(x^m)) / Ser(A) )[m] ); A[k+1]}
%o A337551 for(n=0, 10, print1(T(n, n), ", ")) \\ after _Paul D. Hanna_
%Y A337551 Cf. A304320.
%K A337551 nonn
%O A337551 0,3
%A A337551 _Vaclav Kotesovec_, Aug 31 2020