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A091197
Denominators of Taylor series expansion of 3*sin(2*x)/(2*(2+cos(2*x))) (with 0's omitted).
1
1, 1, 45, 189, 405, 31185, 1658475, 4209975, 97692469875, 65511420975, 4396161144375, 1613742832877175, 1447106344699640625, 316985199315159375, 790515124238106783140625, 845033408668321044046875, 1693960980510228821015625, 84913182070036240111050234375
OFFSET
0,3
REFERENCES
G. H. Hardy, A Course of Pure Mathematics, 9th ed., 1944, p. 291.
LINKS
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
Join[{1, 1}, Take[CoefficientList[Series[3Sin[2x]/(2(2+Cos[2x])), {x, 0, 40}], x], {6, -1, 2}]//Denominator] (* Harvey P. Dale, May 25 2024 *)
CROSSREFS
Cf. A091198.
Sequence in context: A280887 A158630 A158634 * A184539 A146302 A203835
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, Feb 23 2004
STATUS
approved