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 A356407 #15 Aug 05 2022 15:36:57
%S A356407 1,4,15,70,375,2411,17598,146490,1359291,13978597,157393368,
%T A356407 1929989029,25568858978,364288345409,5551537358188,90142504077194,
%U A356407 1553345359200299,28317316174307405,544431381017568696,11010510372888267555,233653645911730002976
%N A356407 a(n) = n! * Sum_{k=1..n} Sum_{d|k} 1/(d * ((k/d)!)^d).
%F A356407 E.g.f.: -(1/(1-x)) * Sum_{k>0} log(1 - x^k/k!).
%F A356407 a(n) = n! * Sum_{k=1..n} A182926(k)/k!.
%o A356407 (PARI) a(n) = n!*sum(k=1, n, sumdiv(k, d, 1/(d*(k/d)!^d)));
%o A356407 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(-sum(k=1, N, log(1-x^k/k!))/(1-x)))
%Y A356407 Cf. A182926, A356009, A356406, A356409.
%K A356407 nonn
%O A356407 1,2
%A A356407 _Seiichi Manyama_, Aug 05 2022