A199449 - OEIS

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

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

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

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

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

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

%e x=0.429079106087839241187994995070220174702318642...

%t a = 3; b = 2; c = 1;

%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, .42, .43}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199449 *)

%Y Cf. A199429.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 06 2011