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 A385085 #16 Jun 17 2025 10:04:59
%S A385085 1,2,16,242,5488,167042,6400000,296071778,16063620352,1000492825922,
%T A385085 70368744177664,5517094707031250,477144100447105024,
%U A385085 45126980600732372162,4633559988356427808768,513333972375334818668738,61035156250000000000000000,7752538100237033690795744642
%N A385085 a(n) = 2 * (3*n+2)^(n-1).
%H A385085 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A385085 E.g.f.: exp(-2/3 * LambertW(-3*x)).
%F A385085 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A052752.
%F A385085 E.g.f. A(x) satisfies:
%F A385085 (1) A(x) = exp(2*x*A(x)^(3/2)).
%F A385085 (2) A(x) = 1/A(-x*A(x)^3).
%o A385085 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-2/3*lambertw(-3*x))))
%Y A385085 Cf. A007334, A385086.
%Y A385085 Cf. A052752.
%K A385085 nonn,easy
%O A385085 0,2
%A A385085 _Seiichi Manyama_, Jun 17 2025