A115183 Numerator of coefficient of x^(2n-1) in series of 3*sin(x)/(2+cos(x)).

1, 0, -1, -1, -1, 1, 269, 157, 3277817, -49397, -10365557, -847243693, -328990404361, 2359554667, 13521593667734879, 3119353059383129, 10406829533213819, -22913020177568301829, -1190728098581644927239161, -577358636244139725973

Offset

1,7

Links

Table of n, a(n) for n=1..20.

Eric Weisstein's World of Mathematics, Identity Function

Example

x - x^5/180 - x^7/1512 - x^9/25920 + x^11/3991680 + (269*x^13)/849139200 + ...

Mathematica

Numerator[ CoefficientList[ Series[3Sin[x]/(2 + Cos[x]), {x, 0, 41}], x]] [[2Range@20]] (* Robert G. Wilson v, Jan 21 2006 *)

Crossrefs

Cf. A115184.

Sequence in context: A251941 A286792 A337917 * A073522 A273552 A341181

Adjacent sequences: A115180 A115181 A115182 * A115184 A115185 A115186

Keyword

sign,frac

Author

Eric W. Weisstein, Jan 15 2006

Status

approved