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 A362482 #13 Feb 16 2025 08:34:05 %S A362482 1,1,1,1,-23,-599,-8999,-104999,-868559,5246641,582598801,21205760401, %T A362482 571129277401,11475082596121,81837031796521,-7904119577117399, %U A362482 -596529385424263199,-28051840646006771999,-991870986521074646879,-21837506791918601443679 %N A362482 E.g.f. satisfies A(x) = exp(x - x^4 * A(x)^4). %H A362482 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>. %F A362482 E.g.f.: exp(x - LambertW(4*x^4 * exp(4*x))/4) = ( LambertW(4*x^4 * exp(4*x))/(4*x^4) )^(1/4). %F A362482 a(n) = n! * Sum_{k=0..floor(n/4)} (-1)^k * (4*k+1)^(n-3*k-1) / (k! * (n-4*k)!). %o A362482 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(x-lambertw(4*x^4*exp(4*x))/4))) %Y A362482 Cf. A362480, A362481. %Y A362482 Cf. A362431, A362473. %K A362482 sign %O A362482 0,5 %A A362482 _Seiichi Manyama_, Apr 21 2023