cp's OEIS Frontend

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.

A360433 E.g.f. satisfies A(x) = x * exp(A(x) + x^3).

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%I A360433 #11 Feb 16 2025 08:34:04
%S A360433 0,1,2,9,88,865,11016,173929,3227792,69010785,1670970160,45198840841,
%T A360433 1350754588008,44196732194641,1571453132115608,60331412278617705,
%U A360433 2487385479819549856,109608035124514365121,5140910415583354887648,255708987797133857518345
%N A360433 E.g.f. satisfies A(x) = x * exp(A(x) + x^3).
%H A360433 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A360433 E.g.f.: -LambertW( -x*exp(x^3) ).
%F A360433 a(n) ~ sqrt(1+LambertW(3*exp(-3))) * 3^(n/3) * n^(n-1) / (exp(n) * (LambertW(3*exp(-3)))^(n/3)). - _Vaclav Kotesovec_, Feb 07 2023
%o A360433 (PARI) my(N=20, x='x+O('x^N)); concat(0, Vec(serlaplace(-lambertw(-x*exp(x^3)))))
%Y A360433 Cf. A216857, A360432.
%Y A360433 Cf. A052322.
%K A360433 nonn
%O A360433 0,3
%A A360433 _Seiichi Manyama_, Feb 07 2023