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.

A060917 Expansion of e.g.f.: exp((-1)^k/k*LambertW(-x)^k)/(k-1)!, k=3.

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%I A060917 #18 Feb 20 2018 09:00:16
%S A060917 1,12,150,2180,36855,715008,15697948,385300800,10463945085,
%T A060917 311697869120,10108450408914,354630018043392,13384651003544275,
%U A060917 540860323696035840,23300648262667635960,1066165291831917811712
%N A060917 Expansion of e.g.f.: exp((-1)^k/k*LambertW(-x)^k)/(k-1)!, k=3.
%C A060917 a(n) = A243098(n,3)/2. - _Alois P. Heinz_, Aug 19 2014
%H A060917 Vincenzo Librandi, <a href="/A060917/b060917.txt">Table of n, a(n) for n = 3..200</a>
%F A060917 a(n) = (n-1)!/(k-1)!*Sum_{i=0..floor((n-k)/k)} 1/(i!*k^i)*n^(n-(i+1)*k)/(n-(i+1)*k)!, k=3.
%F A060917 a(n) ~ 1/2*exp(1/3)*n^(n-1). - _Vaclav Kotesovec_, Nov 27 2012
%t A060917 nn = 20; CoefficientList[Series[E^(-1/3*LambertW[-x]^3)/2, {x, 0, nn}], x]* Range[0, nn]! (* _Vaclav Kotesovec_, Nov 27 2012 *)
%o A060917 (PARI) x='x+O('x^30); Vec(serlaplace(exp(-lambertw(-x)^3/3)/2 - 1/2)) \\ _G. C. Greubel_, Feb 19 2018
%Y A060917 Cf. A057817, A060918, A243098.
%K A060917 easy,nonn
%O A060917 3,2
%A A060917 _Vladeta Jovovic_, Apr 10 2001