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Expansion of tan(sin(x))*sinh(x)/2.
0

%I #16 Dec 22 2025 10:40:11

%S 0,1,4,4,-480,-12208,87488,27536192,1208587264,-78798149376,

%T -18257785424896,-819996200344576,272839221776048128,

%U 64613626344768458752,380326723619536551936,-3364767702453136892805120

%N Expansion of tan(sin(x))*sinh(x)/2.

%H Jose Torres-Jimenez, Roberto Blanco-Rocha, and Carlos Lara-Alvarez, <a href="https://doi.org/10.1109/ACCESS.2025.3625854">LU Decomposition of delta-Vandermonde Matrices</a>, IEEE Access 13 (2025) 187361-187372. See references.

%t With[{nn=30},Take[CoefficientList[Series[Tan[Sin[x]]*Sinh[x]/2,{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Mar 01 2025 *)

%Y Cf. A009666.

%K sign

%O 0,3

%A _R. H. Hardin_

%E Extended with signs Mar 1997

%E Previous Mathematica program replaced by _Harvey P. Dale_, Mar 01 2025