login
A009059
Expansion of e.g.f. cos(sinh(x))/exp(x).
1
1, -1, 0, 2, -8, 24, -56, 104, 64, -1792, 12672, -68608, 309376, -1203840, 2917888, 5570816, -163782656, 1636425728, -12716052480, 86205304832, -495644917760, 2289265803264, -4004259037184, -73881736609792, 1359174582304768
OFFSET
0,4
LINKS
MAPLE
seq(coeff(series(factorial(n)*cos(sinh(x))/exp(x), x, n+1), x, n), n=0..25); # Muniru A Asiru, Jul 24 2018
MATHEMATICA
With[{nmax = 30}, CoefficientList[Series[Cos[Sinh[x]]/Exp[x], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 23 2018 *)
PROG
(PARI) x='x+O('x^30); Vec(serlaplace(cos(sinh(x))/exp(x))) \\ G. C. Greubel, Jul 23 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Sinh(x))/Exp(x))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 23 2018
CROSSREFS
Sequence in context: A122547 A152132 A330520 * A009297 A235793 A182736
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
STATUS
approved