A199788 - OEIS

%I #5 Mar 30 2012 18:57:58

%S 1,0,4,9,1,8,8,7,0,8,2,0,0,4,3,4,2,1,3,4,2,7,2,0,7,6,6,5,0,0,3,9,2,6,

%T 6,0,8,2,9,4,3,9,0,2,2,5,2,1,7,1,6,7,1,4,5,2,0,4,5,1,3,7,6,6,6,9,0,4,

%U 4,5,3,3,1,2,1,1,4,9,3,0,9,0,6,6,9,8,5,1,3,7,0,9,0,5,0,4,2,0,4

%N Decimal expansion of x>0 satisfying 3*x^2-3*x*cos(x)=2*sin(x).

%C See A199597 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=1.049188708200434213427207665003926608294390...

%t a = 3; b = -3; c = 2;

%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]

%t Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.04, 1.05}, WorkingPrecision -> 110]

%t RealDigits[r]     (* A199788 *)

%Y Cf. A199597.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 10 2011