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 A308517 #5 Jun 03 2019 19:46:53
%S A308517 1,-1,-2,-5,-11,18,711,10113,125042,1485627,17151083,185932580,
%T A308517 1665928529,4570649471,-349942007986,-14532197609433,-433111168649251,
%U A308517 -11579368513540914,-293948221716443209,-7208510256850719447,-170577027262193604678,-3823168355141657356481,-76959686241473750407701
%N A308517 Expansion of e.g.f. exp(1 - exp(x/(1 - x))).
%C A308517 Lah transform of A000587 (complementary Bell numbers).
%F A308517 a(n) = Sum_{k=0..n} binomial(n-1,k-1)*A000587(k)*n!/k!.
%t A308517 nmax = 22; CoefficientList[Series[Exp[1 - Exp[x/(1 - x)]], {x, 0, nmax}], x] Range[0, nmax]!
%t A308517 a[n_] := a[n] = Sum[Binomial[n - 1, k - 1] BellB[k, -1] n!/k!, {k, 0, n}]; Table[a[n], {n, 0, 22}]
%Y A308517 Cf. A000587, A084357.
%K A308517 sign
%O A308517 0,3
%A A308517 _Ilya Gutkovskiy_, Jun 03 2019