|
%I #5 Mar 30 2012 18:57:53
%S 1,1,3,0,6,1,9,0,7,2,7,7,6,3,9,4,9,6,1,2,8,8,6,5,0,0,5,8,9,4,5,4,0,6,
%T 8,7,0,2,7,8,6,0,8,7,8,8,9,6,9,4,2,4,3,8,5,4,2,0,9,1,2,5,6,4,6,8,5,8,
%U 7,7,4,5,8,3,3,4,1,9,9,5,8,5,0,5,3,0,9,6,7,8,3,5,6,7,0,6,5,8,5
%N Decimal expansion of x>0 having x^2=3*cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.13061907277639496128865005894540687027860878...
%t a = 1; b = 0; c = 3;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t Plot[{f[x], g[x]}, {x, -1.5, 1.5}]
%t r1 = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
%t RealDigits[r1] (* A197807 *)
%Y Cf. A197737.
%K nonn,cons
%O 1,3
%A _Clark Kimberling_, Oct 20 2011
|
