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%I #7 Aug 09 2021 07:46:44
%S 8,0,9,3,2,4,5,6,9,9,4,6,0,6,7,2,0,8,5,3,6,3,2,9,7,1,4,1,9,0,7,3,1,9,
%T 0,5,9,6,0,0,5,7,7,4,4,5,0,7,6,0,6,8,4,3,9,2,2,8,5,1,1,8,7,2,6,5,7,3,
%U 7,7,0,8,5,5,0,6,2,5,4,7,9,6,1,9,5,5,9,3,2,1,9,5,4,4,1,5,9,7,6,6,8,8,7
%N Decimal expansion of x>0 satisfying 2*x^2+cos(x)=2.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.8093245699460672085363297141907319059600...
%t a = 2; b = 1; 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, .8, .81}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198820 *)
%Y Cf. A198755.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 31 2011
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