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 A298374 #14 May 03 2022 10:59:41
%S A298374 1,1,0,0,6,15,65,595,4004,32865,322307,3316511,37845214,471644173,
%T A298374 6319617369,91114344217,1404670896264,23050054222177,401305630237239,
%U A298374 7387282161642715,143360257370842146,2925289119525173741,62612350725688075941,1402681525332544374325
%N A298374 Expansion of e.g.f. 1/(1 - x)^exp(-x).
%C A298374 Exponential transform of A002741.
%H A298374 Seiichi Manyama, <a href="/A298374/b298374.txt">Table of n, a(n) for n = 0..450</a>
%H A298374 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%H A298374 <a href="/index/Lo#logarithmic">Index entries for sequences related to logarithmic numbers</a>
%F A298374 a(n) ~ n! * n^(exp(-1)-1) / Gamma(exp(-1)). - _Vaclav Kotesovec_, May 04 2018
%e A298374 1/(1 - x)^exp(-x) = 1 + x/1! + 6*x^4/4! + 15*x^5/5! + 65*x^6/6! + 595*x^7/7! + ...
%p A298374 a:=series(1/(1-x)^exp(-x),x=0,24): seq(n!*coeff(a,x,n),n=0..23); # _Paolo P. Lava_, Mar 26 2019
%t A298374 nmax = 23; CoefficientList[Series[1/(1 - x)^Exp[-x], {x, 0, nmax}], x] Range[0, nmax]!
%o A298374 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x)^exp(-x))) \\ _Seiichi Manyama_, May 03 2022
%Y A298374 Cf. A002741, A007116, A009198, A191365.
%K A298374 nonn
%O A298374 0,5
%A A298374 _Ilya Gutkovskiy_, Jan 18 2018