|
%I #5 Mar 30 2012 18:57:56
%S 2,1,6,0,8,1,9,4,5,8,1,0,8,3,9,5,5,4,4,9,4,7,6,8,7,7,6,3,5,0,8,3,4,8,
%T 3,3,5,9,8,2,3,6,0,1,7,6,0,5,1,8,3,5,5,9,7,2,1,1,6,1,4,5,3,0,2,5,2,0,
%U 5,1,4,2,3,6,1,2,1,3,2,4,6,3,5,9,5,1,9,1,7,5,7,1,7,0,8,6,4,9,4
%N Decimal expansion of x>0 satisfying x^2+3*cos(x)=3.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.160819458108395544947687763508348335982360176...
%t a = 1; b = 3; c = 3;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 2.1, 2.2}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198812 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Oct 30 2011
|
