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%I #5 Mar 30 2012 18:57:56
%S 1,8,1,2,0,0,6,2,8,9,8,3,9,4,2,3,4,2,8,9,7,7,3,2,0,9,3,8,2,4,0,6,6,7,
%T 8,4,8,6,2,7,8,5,7,2,9,8,9,1,9,1,5,8,1,1,2,0,8,2,3,6,5,5,0,1,7,8,3,0,
%U 9,3,4,7,2,9,7,5,3,6,4,2,7,1,5,3,8,6,1,9,9,7,6,0,5,9,2,2,0,0,6
%N Decimal expansion of x>0 satisfying x^2-3*cos(x)=4.
%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.812006289839423428977320938240667848627857298919...
%t a = 1; b = -3; c = 4;
%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.8, 1.82}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198830 *)
%Y Cf. A198755.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 30 2011
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