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%I #8 Aug 03 2021 14:32:15
%S 9,0,6,2,4,7,6,9,1,6,3,5,6,4,4,0,7,9,9,1,8,6,2,3,6,3,1,0,2,9,6,4,6,7,
%T 4,1,4,2,5,1,9,2,7,7,4,8,0,8,0,0,3,6,7,8,6,9,4,0,0,0,9,6,1,3,7,2,9,8,
%U 7,2,0,1,3,0,7,6,3,3,7,9,1,9,7,9,6,3,5,8,5,8,3,4,5,6,4,9,7,4,4,6,6
%N Decimal expansion of x > 0 satisfying 3*x^2 - 3*x*cos(x) = sin(x).
%C See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.90624769163564407991862363102964674142519277480...
%t a = 3; b = -3; c = 1;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .90, .91}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199789 *)
%Y Cf. A199597.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 10 2011
%E a(98) corrected by _Georg Fischer_, Aug 03 2021
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