A199003 - OEIS

%I #5 Mar 30 2012 18:57:56

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

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

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

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

%C See A198755 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=1.0979266503715994331440949096710967069204437...

%t a = 4; b = -4; c = 3;

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

%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1, 1.1}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199003 *)

%Y Cf. A198755.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 01 2011