A199791 - OEIS

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

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

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

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

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

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

%e x=1.1065550924691809702446461149733024715999...

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

%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, 1.1, 1.2}, WorkingPrecision -> 110]

%t RealDigits[r]     (* A199791 *)

%Y Cf. A199597.

%K nonn,cons

%O 1,4

%A _Clark Kimberling_, Nov 10 2011