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%I #5 Mar 30 2012 18:57:57
%S 4,5,1,8,0,1,2,3,4,3,3,3,7,3,7,4,0,6,1,3,1,3,3,7,2,4,2,9,8,3,0,8,1,3,
%T 6,6,9,8,9,3,2,6,6,9,2,4,2,7,1,7,1,5,3,1,1,3,6,6,5,4,2,3,3,9,6,9,5,4,
%U 6,0,8,2,7,9,8,0,4,3,6,4,6,3,1,9,3,2,6,5,7,0,6,5,5,1,7,3,1,2,9
%N Decimal expansion of x>0 satisfying 2*x^2+3*x*sin(x)=1.
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.451801234333737406131337242983081366989326...
%t a = 2; b = 3; c = 1;
%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, .45, .46}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199384 *)
%Y Cf. A199370.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 05 2011
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