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Expansion of sin(tanh(x)*tan(x)).
2

%I #11 Sep 16 2023 13:59:33

%S 2,-8,-159328,-1254489728,-20109957303808,-562928915963168768,

%T -18213125504516311441408,1487241135313514473061711872

%N Expansion of sin(tanh(x)*tan(x)).

%F G.f.: sin(tanh(x)*tan(x)).

%F (* [ x^(4n+2) ] *)

%e sin(tanh(x)*tan(x)) = 2/2!*x^2-8/6!*x^6-159328/10!*x^10...

%t With[{nn=30},Take[CoefficientList[Series[Sin[Tanh[x]Tan[x]],{x,0,nn}],x] Range[0,nn]!,{3,-1,4}]] (* _Harvey P. Dale_, Sep 16 2023 *)

%K sign

%O 0,1

%A Patrick Demichel (patrick.demichel(AT)hp.com)

%E Corrected by and prior Mathematica program replaced by _Harvey P. Dale_, Sep 16 2023