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 A385086 #16 Jun 17 2025 10:04:41
%S A385086 1,2,24,578,21296,1062882,67108864,5131452818,461078666496,
%T A385086 47622573323522,5559811767271424,724066662913782498,
%U A385086 104073121367674187776,16365437809265714289122,2794811034494209364066304,515110198093444174897047218,101914923171285428527995355136
%N A385086 a(n) = 2 * (5*n+2)^(n-1).
%H A385086 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A385086 E.g.f.: exp(-2/5 * LambertW(-5*x)).
%F A385086 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A052782.
%F A385086 E.g.f. A(x) satisfies:
%F A385086 (1) A(x) = exp(2*x*A(x)^(5/2)).
%F A385086 (2) A(x) = 1/A(-x*A(x)^5).
%o A385086 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-2/5*lambertw(-5*x))))
%Y A385086 Cf. A007334, A385085.
%Y A385086 Cf. A052782.
%K A385086 nonn,easy
%O A385086 0,2
%A A385086 _Seiichi Manyama_, Jun 17 2025