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 A370581 #11 Feb 23 2024 11:02:40
%S A370581 1,3,4,17,6,307,8,5049,30250,105851,12,25945933,14,77837775,
%T A370581 14529715216,147891744017,18,13435316294419,20,7606841430988821,
%U A370581 16895152834560022,183030822374423,24,387276381308571955225,5385836820601036800026,485735643993600027
%N A370581 a(n) = n! * Sum_{d|n} d/(d! * (n/d)!).
%F A370581 If p is prime, a(p) = 1 + p.
%F A370581 E.g.f.: Sum_{k>0} x^k/k! * exp(x^k).
%o A370581 (PARI) a(n) = n!*sumdiv(n, d, d/(d!*(n/d)!));
%o A370581 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(sum(k=1, N, x^k/k!*exp(x^k))))
%Y A370581 Cf. A121860, A370579, A370580.
%K A370581 nonn,easy
%O A370581 1,2
%A A370581 _Seiichi Manyama_, Feb 23 2024