A199395 - OEIS

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

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

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

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

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

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

%e x=0.585635476491117778200599544559592324909987784745...

%t a = 3; 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, .58, .59}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A199395 *)

%Y Cf. A199370.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 06 2011