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 A354892 #16 Jun 11 2022 07:52:11
%S A354892 1,9,163,6337,375001,33862441,4150656721,677778984961,140588337476161,
%T A354892 36305718780965761,11388728893445164801,4271349071581227377281,
%U A354892 1886009588552176549862401,968755330019156299208709121,572622623006183707899105964801
%N A354892 a(n) = n! * Sum_{d|n} d^n / (n/d)!.
%H A354892 Seiichi Manyama, <a href="/A354892/b354892.txt">Table of n, a(n) for n = 1..232</a>
%F A354892 E.g.f.: Sum_{k>0} (exp((k * x)^k) - 1).
%F A354892 If p is prime, a(p) = 1 + p^p * p!.
%t A354892 a[n_] := n! * DivisorSum[n, #^n/(n/#)! &]; Array[a, 15] (* _Amiram Eldar_, Jun 10 2022 *)
%o A354892 (PARI) a(n) = n!*sumdiv(n, d, d^n/(n/d)!);
%o A354892 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=1, N, exp((k*x)^k)-1)))
%Y A354892 Cf. A354843, A354890.
%K A354892 nonn
%O A354892 1,2
%A A354892 _Seiichi Manyama_, Jun 10 2022