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A277499
E.g.f.: -sin(LambertW(-x)).
2
0, 1, 2, 8, 52, 476, 5646, 82368, 1426888, 28623376, 652516090, 16660233600, 470930272572, 14598765522368, 492441140292934, 17955574113204224, 703714660937658128, 29500170665998713088, 1317136516654501334898, 62399954043306802391040
OFFSET
0,3
LINKS
FORMULA
a(n) ~ cos(1) * n^(n-1).
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]!
PROG
(PARI) x='x+O('x^50); concat([0], Vec(serlaplace(-sin(lambertw(-x))))) \\ G. C. Greubel, Nov 08 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Oct 18 2016
STATUS
approved