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%I #5 Mar 30 2012 18:57:57
%S 5,8,2,7,8,1,0,7,2,5,1,9,8,0,9,7,6,1,0,6,7,1,4,0,6,0,6,2,2,3,0,5,7,2,
%T 5,4,5,3,9,9,5,2,7,7,4,4,8,6,2,8,8,8,0,0,5,1,3,3,2,8,7,1,9,4,1,4,4,6,
%U 5,4,3,9,2,8,8,0,3,9,7,3,8,7,4,7,5,6,2,2,5,0,7,1,4,6,4,3,1,2,5
%N Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=1.
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.58278107251980976106714060622305725453...
%t a = 2; b = 1; c = 1;
%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, .58, .59}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199379 *)
%Y Cf. A199370.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 05 2011
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