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 A362671 #10 Feb 16 2025 08:34:05
%S A362671 1,1,-1,10,-111,1716,-33755,807738,-22782207,740204776,-27226430739,
%T A362671 1118416240470,-50750734988063,2521219487859372,-136098630522431499,
%U A362671 7932551567421395866,-496501182232557828735,33214032504796887027408
%N A362671 E.g.f. satisfies A(x) = exp( x * exp(x) / A(x)^2 ).
%H A362671 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362671 E.g.f.: exp( LambertW(2*x * exp(x))/2 ).
%F A362671 a(n) = Sum_{k=0..n} k^(n-k) * (-2*k+1)^(k-1) * binomial(n,k).
%o A362671 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(lambertw(2*x*exp(x))/2)))
%Y A362671 Cf. A273954, A360473, A362656, A362672.
%K A362671 sign
%O A362671 0,4
%A A362671 _Seiichi Manyama_, Apr 29 2023