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 A354340 #13 Aug 15 2022 08:41:15
%S A354340 1,7,38,264,1629,16075,122366,1414952,16076913,213998983,2112313774,
%T A354340 53581378400,664573162941,9967808211387,239545427723062,
%U A354340 5933102008956848,79857813309308609,2677379355344673255,44453311791217697686,1743982053518367438616
%N A354340 a(n) = n! * Sum_{k=1..n} ( Sum_{d|k} d^(k/d + 1) )/(k * (n-k)!).
%F A354340 a(n) = n! * Sum_{k=1..n} A078308(k)/(k * (n-k)!).
%F A354340 E.g.f.: -exp(x) * Sum_{k>0} log(1-k*x^k).
%o A354340 (PARI) a(n) = n!*sum(k=1, n, sumdiv(k, d, d^(k/d+1))/(k*(n-k)!));
%o A354340 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(-exp(x)*sum(k=1, N, log(1-k*x^k))))
%Y A354340 Cf. A078308, A353992, A354848, A356598.
%K A354340 nonn
%O A354340 1,2
%A A354340 _Seiichi Manyama_, Aug 15 2022