|
%I #5 Mar 30 2012 18:57:54
%S 7,1,0,7,9,4,6,8,7,7,7,4,4,6,5,3,3,7,8,4,6,7,3,5,2,9,1,4,7,5,3,2,7,5,
%T 9,4,3,3,2,3,7,4,4,0,8,7,1,7,6,4,0,0,4,0,2,2,4,3,3,1,6,6,1,9,5,3,8,0,
%U 2,0,4,7,2,3,1,7,4,4,8,3,4,5,1,0,6,0,6,4,8,9,0,1,9,2,3,9,8,8,3
%N Decimal expansion of x>0 having 3*x^2=2*cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.7107946877744653378467352914753275...
%t a = 3; b = 0; c = 2;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t Plot[{f[x], g[x]}, {x, -1, 1}]
%t r = x /. FindRoot[f[x] == g[x], {x, 0.71, 0.72}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198212 *)
%Y Cf. A197737.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 22 2011
|
