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 A362475 #14 Feb 16 2025 08:34:05
%S A362475 1,1,4,28,298,4186,74116,1578340,39394972,1127378332,36411516496,
%T A362475 1310173698736,51982859674648,2254757407407064,106150698182657584,
%U A362475 5390926011965379376,293782337188718257936,17100576708082841577232,1058920120014192744673600
%N A362475 E.g.f. satisfies A(x) = exp(x + 3*x^2/2 * A(x)^2).
%H A362475 Seiichi Manyama, <a href="/A362475/b362475.txt">Table of n, a(n) for n = 0..370</a>
%H A362475 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A362475 E.g.f.: exp(x - LambertW(-3*x^2 * exp(2*x))/2) = sqrt( -LambertW(-3*x^2 * exp(2*x))/(3*x^2) ).
%F A362475 a(n) = n! * Sum_{k=0..floor(n/2)} (3/2)^k * (2*k+1)^(n-k-1) / (k! * (n-2*k)!).
%o A362475 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(x-lambertw(-3*x^2*exp(2*x))/2)))
%Y A362475 Column k=3 of A362483.
%Y A362475 Cf. A143768, A362474.
%Y A362475 Cf. A362380.
%K A362475 nonn
%O A362475 0,3
%A A362475 _Seiichi Manyama_, Apr 21 2023