login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A277476 E.g.f.: -sinh(x)*LambertW(-x). 4

%I

%S 0,0,2,6,40,340,3936,56714,976704,19535688,444743680,11349643822,

%T 320813048832,9947821243100,335700998830848,12246806941654770,

%U 480247532548624384,20144008859005187344,899923326921333301248,42658767419625168409814,2138475182252830504796160

%N E.g.f.: -sinh(x)*LambertW(-x).

%H G. C. Greubel, <a href="/A277476/b277476.txt">Table of n, a(n) for n = 0..385</a>

%F a(n) = Sum_{k=1..n} (1 - (-1)^(n-k)) * binomial(n,k) * k^(k-1)/2.

%F a(n) ~ sinh(exp(-1)) * n^(n-1).

%t CoefficientList[Series[-Sinh[x]*LambertW[-x], {x, 0, 20}], x] * Range[0, 20]!

%t Table[Sum[(1 - (-1)^(n-k)) * Binomial[n, k] * k^(k-1)/2, {k, 1, n}], {n, 0, 20}]

%o (PARI) x='x+O('x^50); concat([0,0], Vec(serlaplace(-sinh(x)*lambertw(-x) ))) \\ _G. C. Greubel_, Nov 07 2017

%Y Cf. A000169, A277463, A277473, A277475, A277478.

%K nonn

%O 0,3

%A _Vaclav Kotesovec_, Oct 17 2016

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 22 18:45 EDT 2021. Contains 348175 sequences. (Running on oeis4.)