A091198 Numerators of Taylor series expansion of 3*sin(2*x)/(2*(2+cos(2*x))) (with 0's omitted).

1, 0, -4, -8, -4, 8, 2152, 2512, 13111268, -395176, -82924456, -13555899088, -2631923234888, 37752874672, 216345498683758064, 99819297900260128, 41627318132855276, -183304161420546414632, -9525824788653159417913288, -9237738179906235615568, -362496161669176865866257860344

Offset

0,3

References

G. H. Hardy, A Course of Pure Mathematics, 9th ed., 1944, p. 291.

Links

Table of n, a(n) for n=0..20.

G. H. Hardy, A Course of Pure Mathematics, Cambridge, The University Press, 1908.

Example

3*sin(2*x)/(2*(2+cos(2*x))) = x-4/45*x^5-8/189*x^7-4/405*x^9+8/31185*x^11+...

Mathematica

Numerator[Take[CoefficientList[Series[(3Sin[2x])/(2(2+Cos[2x])), {x, 0, 50}], x], {2, -1, 2}]] (* Harvey P. Dale, Apr 09 2012 *)

Crossrefs

Cf. A091197.

Sequence in context: A336818 A205681 A059163 * A200641 A245780 A165267

Adjacent sequences: A091195 A091196 A091197 * A091199 A091200 A091201

Keyword

sign,frac

Author

N. J. A. Sloane, Feb 23 2004

Status

approved