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 A336999 #7 Aug 12 2020 11:10:27 %S A336999 1,8,45,544,3725,89856,858823,25271296,434776329,13241728000, %T A336999 285750755411,11494661861376,302956057862653,12945137688641536, %U A336999 446924199188379375,20735627677666902016,827246308572614396177,43155924331583693389824 %N A336999 a(n) = n! * Sum_{d|n} n^d / d!. %F A336999 a(n) = n! * [x^n] Sum_{k>=1} (exp(n*x^k) - 1). %t A336999 Table[n! Sum[n^d/d!, {d, Divisors[n]}], {n, 1, 18}] %t A336999 Table[n! SeriesCoefficient[Sum[(Exp[n x^k] - 1), {k, 1, n}], {x, 0, n}], {n, 1, 18}] %o A336999 (PARI) a(n) = n! * sumdiv(n, d, n^d/d!); \\ _Michel Marcus_, Aug 12 2020 %Y A336999 Cf. A057625, A063170, A066108. %K A336999 nonn %O A336999 1,2 %A A336999 _Ilya Gutkovskiy_, Aug 10 2020