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%I #5 Mar 30 2012 18:57:57
%S 6,4,1,1,1,9,3,6,3,7,7,9,7,5,0,6,6,4,3,8,3,1,3,2,0,4,6,0,5,7,2,6,0,2,
%T 2,8,8,3,8,4,5,3,4,0,9,1,0,2,7,9,8,9,6,9,2,1,4,9,7,2,2,8,3,0,1,0,5,9,
%U 6,2,4,7,5,3,4,4,2,4,2,2,8,0,4,3,2,1,4,8,2,2,9,0,0,4,0,0,4,3,1
%N Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=2.
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.64111936377975066438313204605726022883845...
%t a = 3; b = 2; 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] (* A199391 *)
%Y Cf. A199370.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 06 2011