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%I #9 Aug 23 2015 15:21:58
%S 5,3,7,2,7,2,4,7,4,7,7,2,1,2,4,6,4,5,3,7,2,0,5,1,5,0,8,5,1,2,5,3,0,2,
%T 4,2,2,8,6,3,8,0,6,0,7,0,4,1,1,1,8,7,6,1,9,3,8,4,3,2,3,8,9,5,0,6,3,1,
%U 3,5,7,8,7,0,9,3,5,8,7,1,8,9,2,4,4,3,7,8,5,2,0,1,1,0,8,0,2,3,2
%N Decimal expansion of x>0 satisfying 2*x^2-3*cos(x)=-2.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.537272474772124645372051508512530242286...
%t a = 2; b = -3; c = -2;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .53, .54}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198877 *)
%Y Cf. A198755.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 31 2011
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