A198502 - OEIS

%I #5 Mar 30 2012 18:57:54

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

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

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

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

%C See A198414 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=0.624209287048327558005941450439200...

%e .

%e cons

%t a = 3; b = 0; c = 2;

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

%t Plot[{f[x], g[x]}, {x, -.2, 1}]

%t r = x /. FindRoot[f[x] == g[x], {x, .62, .63}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198502 *)

%Y Cf. A198414

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 25 2011