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 A332024 #14 Feb 13 2020 20:17:02 %S A332024 1,1,3,16,113,956,9382,105253,1334517,18904936,295787126,5056826039, %T A332024 93594929738,1861321879535,39536014577711,892763601542509, %U A332024 21352130132268541,539243894127067888,14342761454293102006,400830115867761118963,11743833994363640228070 %N A332024 E.g.f.: Product_{k>=1} (1 + x^k/(k!*(1 - x)^k)). %F A332024 a(n) = Sum_{k=0..n} binomial(n-1,k-1) * A007837(k) * n! / k!. %t A332024 nmax = 20; CoefficientList[Series[Product[(1 + x^k/(k! (1 - x)^k)), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]! %o A332024 (PARI) seq(n)={Vec(serlaplace(prod(k=1, n, (1 + x^k/(k!*(1 - x)^k)) + O(x*x^n))))} \\ _Andrew Howroyd_, Feb 13 2020 %Y A332024 Cf. A007837, A084357, A129519, A320567, A330649. %K A332024 nonn %O A332024 0,3 %A A332024 _Ilya Gutkovskiy_, Feb 13 2020