A198925 - OEIS

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

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

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

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

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

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

%e x=1.07620777835467666618622787970834977831670...

%t a = 3; b = -1; 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]  (* A198925 *)

%Y Cf. A198755.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Oct 31 2011