A009092 Expansion of e.g.f. cos(tanh(x)*exp(x)).

1, 0, -1, -6, -15, 20, 303, 742, -2975, -17784, 101471, 1089330, -4112559, -109689892, -175956081, 10257283678, 62492991169, -1187272882032, -14383393311553, 159864567511530, 3401397735742641, -22534114976850652

Offset

0,4

Links

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

Formula

E.g.f.: cos(tanh(x)*exp(x)).

Maple

seq(coeff(series(factorial(n)*cos(tanh(x)*exp(x)), x, n+1), x, n), n=0..25); # Muniru A Asiru, Jul 26 2018

Mathematica

With[{nmax = 30}, CoefficientList[Series[Cos[Tanh[x]*Exp[x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 25 2018 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace(cos(tanh(x)*exp(x)))) \\ G. C. Greubel, Jul 25 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Tanh(x)*Exp(x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 25 2018

Crossrefs

Sequence in context: A056901 A208542 A012412 * A330205 A015793 A373899

Adjacent sequences: A009089 A009090 A009091 * A009093 A009094 A009095

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved