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A009436
Expansion of e.g.f. log(1+x)/exp(sin(x)).
3
0, 1, -3, 8, -20, 59, -261, 1665, -12368, 99945, -888961, 8802045, -96423788, 1154791637, -14982150197, 209295667833, -3133083877248, 50039962416625, -849332973526881, 15266142375582901, -289679348425382572
OFFSET
0,3
LINKS
FORMULA
a(n) ~ (n-1)! * (-1)^(n+1) * exp(sin(1)). - Vaclav Kotesovec, Jan 23 2015
MATHEMATICA
With[{m=30}, CoefficientList[Series[Log[1+x]/E^Sin[x], {x, 0, m}], x]*Range[0, m]!] (* Vaclav Kotesovec, Jan 23 2015 *)
PROG
(Magma)
R<x>:=PowerSeriesRing(Rationals(), 30);
[0] cat Coefficients(R!(Laplace( Log(1+x)*Exp(-Sin(x)) ))); // G. C. Greubel, Sep 08 2023
(SageMath)
def A009436_list(prec):
P.<x> = PowerSeriesRing(QQ, prec)
return P( log(1+x)*exp(-sin(x)) ).egf_to_ogf().list()
A009436_list(31) # G. C. Greubel, Sep 08 2023
CROSSREFS
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
STATUS
approved