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 A370579 #10 Feb 23 2024 09:02:49
%S A370579 1,4,9,52,125,1806,5047,87368,544329,7408810,39916811,1281329292,
%T A370579 6227020813,174477663374,2015997984015,45336862771216,355687428096017,
%U A370579 16059446167564818,121645100408832019,5372665305815808020,76707372899469312021,2248001765299683993622
%N A370579 a(n) = n! * Sum_{d|n} 1/(d-1)!.
%F A370579 a(n) = n * A087906(n).
%F A370579 If p is prime, a(p) = p + p!.
%F A370579 E.g.f.: Sum_{k>0} x^k * exp(x^k).
%o A370579 (PARI) a(n) = n!*sumdiv(n, d, 1/(d-1)!);
%o A370579 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(sum(k=1, N, x^k*exp(x^k))))
%Y A370579 Cf. A087906, A370580.
%Y A370579 Cf. A370602, A370603.
%K A370579 nonn,easy
%O A370579 1,2
%A A370579 _Seiichi Manyama_, Feb 23 2024