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A009092 Expansion of e.g.f. cos(tanh(x)*exp(x)). 1

%I #24 Dec 31 2023 15:51:25

%S 1,0,-1,-6,-15,20,303,742,-2975,-17784,101471,1089330,-4112559,

%T -109689892,-175956081,10257283678,62492991169,-1187272882032,

%U -14383393311553,159864567511530,3401397735742641,-22534114976850652

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

%H G. C. Greubel, <a href="/A009092/b009092.txt">Table of n, a(n) for n = 0..250</a>

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

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

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

%o (PARI) x='x+O('x^30); Vec(serlaplace(cos(tanh(x)*exp(x)))) \\ _G. C. Greubel_, Jul 25 2018

%o (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

%K sign,easy

%O 0,4

%A _R. H. Hardin_

%E Extended with signs by _Olivier GĂ©rard_, Mar 15 1997

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)