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sin(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4-58/6!*x^6-1976/8!*x^8...
2

%I #20 Aug 31 2017 11:30:54

%S 0,2,4,-58,-1976,-125878,-9435956,-836433778,-89733620336,

%T -11137238248558,-1522227026225516,-206921536362952618,

%U -18449844567266861096,5345369219895500654042,5647561940802724266444124

%N sin(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4-58/6!*x^6-1976/8!*x^8...

%t With[{nn=30},Take[CoefficientList[Series[Sin[Tan[x]*Sin[x]],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Aug 31 2017 *)

%K sign

%O 0,2

%A _R. H. Hardin_

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

%E Previous Mathematica program replaced by _Harvey P. Dale_, Aug 31 2017