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A009437
Expansion of e.g.f. log(1+x)/exp(sinh(x)).
3
0, 1, -3, 8, -28, 119, -581, 3345, -22352, 170889, -1480881, 14361885, -154177068, 1814792589, -23230500541, 321160966833, -4767464107904, 75612375796689, -1275789176648193, 22815192314465685, -431023517858496044
OFFSET
0,3
LINKS
FORMULA
a(n) ~ (n-1)! * (-1)^(n+1) * exp(sinh(1)). - Vaclav Kotesovec, Jan 23 2015
MATHEMATICA
With[{nn=20}, CoefficientList[Series[Log[1+x]/Exp[Sinh[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Oct 01 2013 *)
PROG
(Magma)
R<x>:=PowerSeriesRing(Rationals(), 30);
[0] cat Coefficients(R!(Laplace( Log(1+x)*Exp(-Sinh(x)) ))); // G. C. Greubel, Sep 08 2023
(SageMath)
def A009437_list(prec):
P.<x> = PowerSeriesRing(QQ, prec)
return P( log(1+x)*exp(-sinh(x)) ).egf_to_ogf().list()
A009437_list(31) # G. C. Greubel, Sep 08 2023
CROSSREFS
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
Definition clarified by Harvey P. Dale, Oct 01 2013
STATUS
approved