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 A290215 #19 Nov 13 2017 02:50:03
%S A290215 0,1,-2,18,-144,1900,-26820,485394,-9679936,225394488,-5765768100,
%T A290215 164923889350,-5132384691984,174433050454260,-6385752833589220,
%U A290215 251596880714336850,-10585338808667808000,474507594337155230704,-22550580127644413987268
%N A290215 a(n) = n! * [x^n] -exp(-n*x)*LambertW(-x).
%C A290215 The n-th term of the n-th inverse binomial transform of A000169 (with A000169(0) = 0).
%H A290215 G. C. Greubel, <a href="/A290215/b290215.txt">Table of n, a(n) for n = 0..385</a>
%H A290215 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F A290215 a(n) ~ -(-1)^n * LambertW(1) * n^n. - _Vaclav Kotesovec_, Oct 06 2017
%t A290215 Table[n! SeriesCoefficient[-Exp[-n x] LambertW[-x], {x, 0, n}], {n, 0, 18}]
%t A290215 Table[Sum[(-n)^(n - k) Binomial[n, k] k^(k - 1), {k, 1, n}], {n, 0, 18}]
%Y A290215 Cf. A000169, A277474, A292633.
%K A290215 sign
%O A290215 0,3
%A A290215 _Ilya Gutkovskiy_, Oct 06 2017