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 A362674 #10 Feb 16 2025 08:34:05 %S A362674 1,1,-1,4,-3,136,-1685,26496,-433783,8415856,-184328649,4515376240, %T A362674 -121983339731,3605788384056,-115769790754813,4012378854562456, %U A362674 -149305859447213295,5937271828722146656,-251273782851599681297,11276632158754470014304 %N A362674 E.g.f. satisfies A(x) = exp( x * exp(x^3) / A(x) ). %H A362674 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>. %F A362674 E.g.f.: exp( LambertW(x * exp(x^3)) ). %F A362674 a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k)^k * (-n+3*k+1)^(n-3*k-1) / (k! * (n-3*k)!). %o A362674 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(lambertw(x*exp(x^3))))) %Y A362674 Cf. A362673. %K A362674 sign %O A362674 0,4 %A A362674 _Seiichi Manyama_, Apr 29 2023