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 A009053 Expansion of e.g.f. cos(sinh(log(1+x))). 1

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

%S 1,0,-1,3,-14,80,-526,3906,-32192,290016,-2816056,29050120,-313052024,

%T 3442154352,-37060529416,353733158520,-1866295941824,-42066299646976,

%U 2247562825065152,-73960387213018176,2159580310527713536

%N Expansion of e.g.f. cos(sinh(log(1+x))).

%H Vincenzo Librandi, <a href="/A009053/b009053.txt">Table of n, a(n) for n = 0..200</a>

%t With[{nn=20},CoefficientList[Series[Cos[Sinh[Log[1+x]]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Oct 19 2013 *)

%o (PARI) x='x+O('x^30); Vec(serlaplace(cos(sinh(log(1+x))))) \\ _G. C. Greubel_, Jul 23 2018

%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Sinh(Log(1+x))))); [Factorial(n-1)*b[n]: n in [1..m]]; // _G. C. Greubel_, Jul 23 2018

%K sign,easy

%O 0,4

%A _R. H. Hardin_

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

%E Mathematica program replaced by _Harvey P. Dale_, Oct 19 2013

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Last modified November 29 00:31 EST 2023. Contains 367422 sequences. (Running on oeis4.)