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 A292633 #14 Oct 08 2018 13:13:27
%S A292633 0,1,6,54,656,10100,189252,4195870,107803712,3158565192,104179336100,
%T A292633 3827097857594,155176637687568,6890781261435916,332846314505306084,
%U A292633 17384125179840159150,976545328548757184768,58723524484105985029136,3764267361608204263229892,256245748998712921762125922
%N A292633 a(n) = n! * [x^n] -exp(n*x)*LambertW(-x).
%C A292633 The n-th term of the n-th binomial transform of A000169.
%H A292633 G. C. Greubel, <a href="/A292633/b292633.txt">Table of n, a(n) for n = 0..365</a>
%H A292633 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F A292633 a(n) ~ exp(n*exp(-1)) * n^(n-1) / (1-exp(-1))^(3/2). - _Vaclav Kotesovec_, Sep 20 2017
%t A292633 Table[n!*SeriesCoefficient[-E^(n*x)*LambertW[-x],{x,0,n}], {n,0,20}] (* _Vaclav Kotesovec_, Sep 20 2017 *)
%Y A292633 Main diagonal of A294411.
%Y A292633 Cf. A000169, A290840.
%K A292633 nonn
%O A292633 0,3
%A A292633 _Ilya Gutkovskiy_, Sep 20 2017