A199470 - OEIS

%I #6 Mar 30 2012 18:57:57

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

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

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

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

%C See A199429 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=2.031257640333073135837764766211201518805142...

%t a = 1; b = -3; c = 3;

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

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

%t r = x /. FindRoot[f[x] == g[x], {x, 2.03, 2.04}, WorkingPrecision -> 110]

%t RealDigits[r]  (* A199470 *)

%Y Cf. A199429.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Nov 07 2011