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A277477
E.g.f.: -cos(x)*LambertW(-x).
3
0, 1, 2, 6, 52, 540, 6846, 104832, 1883848, 38889360, 907247770, 23608391840, 678039307452, 21305543325248, 727095737061526, 26781816978470400, 1059020025979194128, 44746083421419997440, 2011929587198990154162, 95918808101232854969856
OFFSET
0,3
LINKS
FORMULA
a(n) ~ cos(exp(-1)) * n^(n-1).
MATHEMATICA
CoefficientList[Series[-Cos[x]*LambertW[-x], {x, 0, 20}], x] * Range[0, 20]!
Table[Sum[Binomial[n, k] * Cos[Pi*(n-k)/2] * k^(k-1), {k, 1, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 28 2016 *)
PROG
(PARI) x='x+O('x^50); concat([0], Vec(serlaplace(-cos(x)*lambertw(-x)))) \\ G. C. Greubel, Nov 07 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Oct 17 2016
STATUS
approved