%I #5 Mar 30 2012 18:57:57
%S 9,1,2,8,2,0,7,1,7,4,4,6,3,9,5,3,5,1,1,5,3,5,0,7,0,7,9,7,7,8,2,2,8,0,
%T 5,2,8,8,3,9,3,5,5,9,6,6,5,9,6,1,3,6,7,9,3,7,1,5,5,7,9,9,2,1,9,4,8,9,
%U 3,1,3,7,9,3,5,6,0,7,1,4,5,1,6,7,8,4,2,9,4,0,6,2,2,6,8,3,1,1,9
%N Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=3.
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.9128207174463953511535070797782280528...
%t a = 1; b = 3; c = 3;
%t f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -1, 2 Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .91, .92}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199378 *)
%Y Cf. A199370.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 05 2011