%I #6 Dec 07 2016 10:24:45
%S 1,1,1,6,3,120,45,1008,315,362880,14175,7983360,467775,6227020800,
%T 42567525,261534873600,638512875,355687428096000,97692469875,
%U 4865804016353280,9280784638125,51090942171709440000,126109485376875,397723334444384256000,147926426347074375
%N Denominators of coefficients in expansion of 1/(1 - sin x).
%C The numerators are the same as for sec(x) + tan(x); see A099612.
%H Clark Kimberling, <a href="/A279107/b279107.txt">Table of n, a(n) for n = 0..1000</a>
%e 1 + x + x^2 + (5/6)x^3 + (2/3)x^4 + (61/120)x^5 + ... ; 1, 1, 1/2, 5/6, 2/3, 61/120, ... = A099612/A279107.
%t z = 30; t = CoefficientList[Series[1/(1 - Sin[x]), {x, 0, z}], x];
%t Numerator[t] (* A099612 *)
%t Denominator[t] (* A279107 *)
%Y Cf. A099612.
%K nonn,easy,frac
%O 0,4
%A _Clark Kimberling_, Dec 07 2016