A009059 - OEIS

A009059

Expansion of e.g.f. cos(sinh(x))/exp(x).

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

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OFFSET

0,4

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..250

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

Adjacent sequences: A009056 A009057 A009058 * A009060 A009061 A009062

KEYWORD

sign,easy

AUTHOR

R. H. Hardin

EXTENSIONS

Extended with signs by Olivier Gérard, Mar 15 1997

STATUS

approved