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A009033 Expansion of e.g.f.: cos(log(1+x)/cosh(x)). 1

%I #20 Sep 08 2022 08:44:37

%S 1,0,-1,3,2,-20,-160,1470,-1412,-17208,-311900,5526620,-27336032,

%T 64471680,-3978938184,91242933600,-974175281648,9223539606848,

%U -209919913406800,4978659648353904,-83195760215366560,1324088843470088640

%N Expansion of e.g.f.: cos(log(1+x)/cosh(x)).

%H G. C. Greubel, <a href="/A009033/b009033.txt">Table of n, a(n) for n = 0..250</a>

%t With[{nn=30},CoefficientList[Series[Cos[Log[1+x]/Cosh[x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Sep 10 2012 *)

%o (PARI) x='x+O('x^30); Vec(serlaplace(cos(log(1+x)/cosh(x)))) \\ _G. C. Greubel_, Jul 22 2018

%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Log(1+x)/Cosh(x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Jul 22 2018

%K sign,easy

%O 0,4

%A _R. H. Hardin_

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

%E Definition clarified by _Harvey P. Dale_, Sep 10 2012

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Last modified May 8 02:29 EDT 2024. Contains 372317 sequences. (Running on oeis4.)