A024293 Expansion of e.g.f. log(1+sin(x)^2)/2 (even-indexed coefficients).

0, 1, -10, 256, -13840, 1282816, -181649920, 36478744576, -9861412096000, 3452931391553536, -1520176422094766080, 821908023102140317696, -535369559186849435484160, 413508899951810581475885056, -373681769282729298809313034240, 390605070751731814007608616943616

Offset: 0

Author

R. H. Hardin

Keywords

• sign

Crossrefs

Cf. A009344.

Programs

Mathematica

With[{nn=30},Take[CoefficientList[Series[Log[1+Sin[x]^2]/2,{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* Harvey P. Dale, May 21 2014 *)

Extensions

Extended with signs Mar 1997

Prior Mathematica program replaced by Harvey P. Dale, May 21 2014