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A009434
Expansion of e.g.f: log(1+x)/cosh(tanh(x)).
3
0, 1, -1, -1, 0, 69, -225, -1653, 3976, 187401, -965385, -14516745, 61266744, 3032650893, -21187300953, -491788726653, 2947006495920, 166337505847057, -1463633608132017, -46261934493321105, 358635306874354320
OFFSET
0,6
LINKS
MATHEMATICA
With[{nn=20}, CoefficientList[Series[Log[1+x]/Cosh[Tanh[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jun 19 2013 *)
PROG
(Magma)
R<x>:=PowerSeriesRing(Rationals(), 30);
[0] cat Coefficients(R!(Laplace( Log(1+x)/Cosh(Tanh(x)) ))); // G. C. Greubel, Sep 06 2023
(SageMath)
def A009434_list(prec):
P.<x> = PowerSeriesRing(QQ, prec)
return P( log(1+x)/cosh(tanh(x)) ).egf_to_ogf().list()
A009434_list(40) # G. C. Greubel, Sep 06 2023
(PARI) my(x='x+O('x^30)); concat([0], Vec(serlaplace(log(1+x)/cosh(tanh(x))))) \\ Joerg Arndt, Sep 06 2023
CROSSREFS
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier GĂ©rard, Mar 15 1997
Definition clarified and prior Mathematica program replaced by Harvey P. Dale, Jun 19 2013
STATUS
approved