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%I A199785 #5 Mar 30 2012 18:57:58
%S A199785 1,1,1,8,6,2,8,9,9,9,6,3,4,8,7,2,1,4,0,6,5,4,9,6,1,6,6,3,2,4,7,1,8,1,
%T A199785 0,4,7,8,1,7,0,9,4,6,7,8,4,0,6,5,8,1,6,8,3,4,4,1,4,7,4,3,6,0,9,9,5,6,
%U A199785 2,8,7,6,8,5,9,4,3,8,5,2,4,0,0,1,5,4,4,9,5,9,4,9,2,3,1,3,3,2,2
%N A199785 Decimal expansion of x>0 satisfying 3*x^2-4*x*cos(x)=2*sin(x).
%C A199785 See A199597 for a guide to related sequences.  The Mathematica program includes a graph.
%e A199785 x=1.11862899963487214065496166324718104781709467840...
%t A199785 a = 3; b = -4; c = 2;
%t A199785 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199785 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
%t A199785 r = x /. FindRoot[f[x] == g[x], {x, 1.11, 1.12}, WorkingPrecision -> 110]
%t A199785 RealDigits[r]    (* A199785 *)
%Y A199785 Cf. A199597.
%K A199785 nonn,cons
%O A199785 1,4
%A A199785 _Clark Kimberling_, Nov 10 2011

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