A199437 - OEIS

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

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

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

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

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

%C See A199370 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=0.763575447308377054779338907559284434105190362...

%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, .76, .77}, WorkingPrecision -> 110]

%t RealDigits[r]  (* A199437 *)

%Y Cf. A199429.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 06 2011