A199385 - OEIS

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

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

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

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

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

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

%e x=0.64578057531633754175606688826273632459557517500...

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

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

%t Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .64, .65}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A199385 *)

%Y Cf. A199370.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 06 2011