OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..100
FORMULA
a(n) = Sum_{k=0..n} (k+1)^k*(n+1)^(n-k-1)*binomial(n, k).
a(n) ~ exp(1+exp(-1)+n*exp(-1)) / sqrt(1-exp(-1)) * n^(n-1). - Vaclav Kotesovec, Nov 27 2012
MATHEMATICA
nn = 20; CoefficientList[Series[-LambertW[LambertW[-x]]/x, {x, 0, nn}], x]* Range[0, nn]! (* Vaclav Kotesovec, Nov 27 2012 *)
PROG
(PARI) x='x+O('x^50); Vec(serlaplace(-lambertw(lambertw(-x))/x)) \\ G. C. Greubel, Nov 08 2017
(PARI) a(n) = sum(k=0, n, (k+1)^k*(n+1)^(n-k-1)*binomial(n, k)); \\ Michel Marcus, Nov 09 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladeta Jovovic, Jan 27 2005
STATUS
approved