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 A308345 #10 Aug 05 2022 15:36:50
%S A308345 1,2,4,15,48,310,1440,11970,85120,821016,7257600,91707000,958003200,
%T A308345 13440913200,178919989248,2809456650000,41845579776000,
%U A308345 763629026160000,12804747411456000,257140635922025856,4918792391884800000,106876408948152480000
%N A308345 Expansion of e.g.f. Sum_{k>=1} log(1/(1 - x^k/k)).
%H A308345 Seiichi Manyama, <a href="/A308345/b308345.txt">Table of n, a(n) for n = 1..450</a>
%F A308345 a(n) = n! * Sum_{d|n} 1/(d*(n/d)^d).
%F A308345 a(n) = A007841(n) - (1/n) * Sum_{k=1..n-1} k*binomial(n,k)*A007841(n-k)*a(k).
%F A308345 a(n) ~ 2 * (n-1)!. - _Vaclav Kotesovec_, Feb 16 2020
%t A308345 nmax = 22; CoefficientList[Series[Sum[Log[1/(1 - x^k/k)], {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]! // Rest
%t A308345 Table[n! Sum[1/(d (n/d)^d), {d, Divisors[n]}], {n, 1, 22}]
%Y A308345 Cf. A007841, A038048, A182926, A182927, A308337.
%K A308345 nonn
%O A308345 1,2
%A A308345 _Ilya Gutkovskiy_, May 21 2019