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%I #5 Mar 30 2012 18:57:54
%S 1,2,6,3,3,2,1,4,4,7,9,4,9,3,6,9,1,0,6,6,7,0,4,7,5,9,3,4,3,3,0,0,0,6,
%T 4,8,1,5,8,0,7,3,0,2,3,6,0,5,5,4,6,4,5,5,3,1,5,7,0,4,4,8,2,1,9,1,8,3,
%U 4,2,2,1,6,9,6,0,9,0,9,8,2,0,9,4,0,7,0,9,4,6,5,9,9,5,1,8,6,3,4
%N Decimal expansion of x>0 having x^2+x=3*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.26332144794936910667047593433000...
%t a = 1; b = 1; c = 3;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -1, 2}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.26, 1.27}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198418 *)
%Y Cf. A198414.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 24 2011
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