A199473 - OEIS

%I #7 Mar 30 2012 18:57:57

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

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

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

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

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

%e x=1.086027211843730407845669734772027209316126500...

%t a = 2; 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, 1.08, 1.09}, WorkingPrecision -> 110]

%t RealDigits[r]  (* A199473 *)

%Y Cf. A199429.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 07 2011