login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A277476 E.g.f.: -sinh(x)*LambertW(-x). 4
0, 0, 2, 6, 40, 340, 3936, 56714, 976704, 19535688, 444743680, 11349643822, 320813048832, 9947821243100, 335700998830848, 12246806941654770, 480247532548624384, 20144008859005187344, 899923326921333301248, 42658767419625168409814, 2138475182252830504796160 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..385

FORMULA

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

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

MATHEMATICA

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

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

PROG

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

CROSSREFS

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

Sequence in context: A274482 A274277 A120592 * A277483 A267981 A318006

Adjacent sequences:  A277473 A277474 A277475 * A277477 A277478 A277479

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Oct 17 2016

STATUS

approved

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 July 19 08:12 EDT 2019. Contains 325155 sequences. (Running on oeis4.)