A199448 - OEIS

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

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

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

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

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

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

%e x=0.74952883250911547864953783103346317136524985031130...

%t a = 3; b = 1; 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, .74, .75}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199448 *)

%Y Cf. A199429.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 06 2011