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 A308537 #5 Jun 06 2019 21:59:48
%S A308537 1,1,27,104149,192052025697,401307330353526478576,
%T A308537 1891640643805444860923624673784723,
%U A308537 35720630453521390599442254755998585843785410691847,4425335738067265257031641848982502946902371654704454173556393591653249
%N A308537 a(n) = exp(-1) * Sum_{k>=0} (k + n - 1)!^n/(k!*(k - 1)!^n).
%F A308537 a(n) = A182933(n,n).
%t A308537 Table[Exp[-1] Sum[(k + n - 1)!^n/(k! (k - 1)!^n), {k, 0, Infinity}], {n, 0, 8}]
%Y A308537 Main diagonal of A182933.
%Y A308537 Cf. A000110, A070227, A094577.
%K A308537 nonn
%O A308537 0,3
%A A308537 _Ilya Gutkovskiy_, Jun 06 2019