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 A370580 #8 Feb 23 2024 11:02:51
%S A370580 1,3,5,22,29,546,727,18488,100809,1164250,3628811,208232652,479001613,
%T A370580 18741602894,236107872015,4796881689616,20922789888017,
%U A370580 1618457192352018,6402373705728019,471378116297088020,6105908234409984021,153272981387362636822
%N A370580 a(n) = (n-1)! * Sum_{d|n} d/(d-1)!.
%F A370580 If p is prime, a(p) = p + (p-1)!.
%F A370580 E.g.f.: Sum_{k>0} x^k/k * exp(x^k).
%o A370580 (PARI) a(n) = (n-1)!*sumdiv(n, d, d/(d-1)!);
%o A370580 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(sum(k=1, N, x^k/k*exp(x^k))))
%Y A370580 Cf. A087906, A370579.
%K A370580 nonn,easy
%O A370580 1,2
%A A370580 _Seiichi Manyama_, Feb 23 2024