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 A351165 #17 Aug 21 2022 14:10:15
%S A351165 1,6,60,1584,75120,5601960,592956000,84557864160,15620794842240,
%T A351165 3628800457682400,1035338990353113600,355902198996315787200,
%U A351165 145077660657865961625600,69194697633957032681544000,38174841090323471644830720000,24122334398251368151021076928000
%N A351165 a(n) = n! * Sum_{d|n} d^(d - n/d).
%F A351165 E.g.f.: Sum_{k>=1} (k * x)^k/(k - x^k).
%t A351165 a[n_] := n! * DivisorSum[n, #^(# - n/#) &]; Array[a, 16] (* _Amiram Eldar_, Aug 21 2022 *)
%o A351165 (PARI) a(n) = n!*sumdiv(n, d, d^(d-n/d));
%o A351165 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=1, N, (k*x)^k/(k-x^k))))
%Y A351165 Cf. A062796, A087905, A355669, A356661.
%K A351165 nonn
%O A351165 1,2
%A A351165 _Seiichi Manyama_, Aug 21 2022