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 A370604 #11 Feb 23 2024 11:02:43
%S A370604 1,3,5,16,29,251,727,7988,47049,512767,3628811,58012582,479001613,
%T A370604 8007115559,92633212687,1648230784216,20922789888017,449622885136443,
%U A370604 6402373705728019,146721895942876274,2507411046373376021,60380204535989936347,1124000727777607680023
%N A370604 a(n) = n! * Sum_{d|n} 1/((d-1)! * (n/d)^d).
%F A370604 If p is prime, a(p) = p + (p-1)!.
%F A370604 E.g.f.: Sum_{k>0} x^k/k * exp(x^k/k).
%o A370604 (PARI) a(n) = n!*sumdiv(n, d, 1/((d-1)!*(n/d)^d));
%o A370604 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(sum(k=1, N, x^k/k*exp(x^k/k))))
%Y A370604 Cf. A370580.
%K A370604 nonn
%O A370604 1,2
%A A370604 _Seiichi Manyama_, Feb 23 2024