A277499 E.g.f.: -sin(LambertW(-x)).

0, 1, 2, 8, 52, 476, 5646, 82368, 1426888, 28623376, 652516090, 16660233600, 470930272572, 14598765522368, 492441140292934, 17955574113204224, 703714660937658128, 29500170665998713088, 1317136516654501334898, 62399954043306802391040

Offset: 0

Author

Vaclav Kotesovec, Oct 18 2016

Keywords

• nonn

Links

• Robert Israel, Table of n, a(n) for n = 0..387

Crossrefs

Cf. A195136, A277461, A277498.

Programs

Maple

S:= series(-sin(LambertW(-x)),x,31):
seq(coeff(S,x,n)*n!, n=0..30); # Robert Israel, Oct 30 2016

Mathematica

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

PARI

x='x+O('x^50); concat([0], Vec(serlaplace(-sin(lambertw(-x))))) \\ G. C. Greubel, Nov 08 2017

Formula

a(n) ~ cos(1) * n^(n-1).