A009036 - OEIS

%I #14 Sep 08 2022 08:44:37

%S 1,0,-1,3,-6,0,114,-1134,9320,-75456,640144,-5888080,59989416,

%T -683640048,8694795576,-122022500040,1861267622656,-30418406611456,

%U 526523001326720,-9570437327493504,181530307816180736,-3575813555711685120

%N Expansion of cos(sin(log(1+x))).

%H G. C. Greubel, <a href="/A009036/b009036.txt">Table of n, a(n) for n = 0..250</a>

%t With[{nmax = 30}, CoefficientList[Series[Cos[Sin[Log[1 + x]]], {x, 0, nmax}], x]*Range[0, nmax]!] (* _G. C. Greubel_, Jul 22 2018 *)

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

%o (Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Sin(Log(1+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 Gérard_, Mar 15 1997