%I #6 Dec 30 2024 12:34:13
%S 4,-8,992,-50304,4573952,-738222080,127954033664,-34953731964928,
%T 10769261343309824,-4380269574963986432,2085941501322197073920,
%U -1202553346613607891730432,808239805736578791916961792
%N sin(tan(x)-arctan(x))=4/3!*x^3-8/5!*x^5+992/7!*x^7-50304/9!*x^9...
%t With[{nn=30},Take[CoefficientList[Series[Sin[Tan[x]-ArcTan[x]],{x,0,nn}],x] Range[0,nn-1]!,{4,-1,2}]] (* _Harvey P. Dale_, Dec 30 2024 *)
%K sign
%O 0,1
%A Patrick Demichel (patrick.demichel(AT)hp.com)