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 A354888 #17 Jun 11 2022 07:51:49
%S A354888 1,6,33,328,3245,52056,828583,17328256,389416329,10105386400,
%T A354888 285351587411,8955841614336,302881333613053,11126513414294656,
%U A354888 437935136609883375,18455736024587862016,827240617573764860177,39353706314004951028224
%N A354888 a(n) = n! * Sum_{d|n} d^d / d!.
%H A354888 Seiichi Manyama, <a href="/A354888/b354888.txt">Table of n, a(n) for n = 1..386</a>
%F A354888 E.g.f.: Sum_{k>0} (k * x)^k/(k! * (1 - x^k)).
%F A354888 If p is prime, a(p) = p^p + p! = A053042(p).
%t A354888 a[n_] := n! * DivisorSum[n, #^#/#! &]; Array[a, 18] (* _Amiram Eldar_, Jun 10 2022 *)
%o A354888 (PARI) a(n) = n!*sumdiv(n, d, d^d/d!);
%o A354888 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=1, N, (k*x)^k/(k!*(1-x^k)))))
%Y A354888 Cf. A327579, A354843, A354889.
%K A354888 nonn
%O A354888 1,2
%A A354888 _Seiichi Manyama_, Jun 10 2022