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 A354506 #13 Aug 16 2022 10:20:43
%S A354506 1,2,7,14,63,284,2385,3940,87717,940126,12743267,30055618,562302323,
%T A354506 9005878920,423435780989,2080544097000,24457758561001,444510436079706,
%U A354506 17533073308723423,46973556239255702,7501223613055891783,178483805340054632084,4396051786608296882889,-31788150263554644516724
%N A354506 a(n) = n! * Sum_{k=1..n} ( Sum_{d|k} (-1)^(k/d+1) )/(k * (n-k)!).
%F A354506 a(n) = n! * Sum_{k=1..n} A048272(k)/(k * (n-k)!).
%F A354506 E.g.f.: exp(x) * Sum_{k>0} log(1 + x^k)/k.
%o A354506 (PARI) a(n) = n!*sum(k=1, n, sumdiv(k, d, (-1)^(k/d+1))/(k*(n-k)!));
%o A354506 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x)*sum(k=1, N, log(1+x^k)/k)))
%Y A354506 Cf. A354507, A354508.
%Y A354506 Cf. A048272, A356389.
%K A354506 sign
%O A354506 1,2
%A A354506 _Seiichi Manyama_, Aug 15 2022