A199784 - OEIS

%I #6 Mar 30 2012 18:57:58

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

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

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

%N Decimal expansion of x>0 satisfying 3*x^2-4*x*cos(x)=3*sin(x).

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

%e x=1.223054065511102571350480494721928691740...

%t a = 3; b = -4; 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, 1.22, 1.23}, WorkingPrecision -> 110]

%t RealDigits[r]     (* A199784 *)

%Y Cf. A199597.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 10 2011