A199868 - OEIS

%I #5 Mar 30 2012 18:57:58

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

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

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

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

%C See A199597 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=1.1251983796785454997711971706228898098598533...

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

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

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

%t r = x /. FindRoot[f[x] == g[x], {x, 1.12, 1.13}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A199868 *)

%Y Cf. A199597.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 11 2011