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%I #5 Mar 30 2012 18:58:00
%S 1,3,9,8,7,1,8,4,7,5,9,7,1,1,1,4,8,0,4,5,0,6,7,2,5,2,5,7,2,2,8,0,9,9,
%T 4,9,8,1,7,4,9,0,9,2,2,8,3,8,8,0,5,5,0,4,0,7,4,4,2,1,2,8,2,8,7,5,3,6,
%U 0,7,5,4,4,1,9,0,1,4,7,9,0,0,4,3,4,4,3,8,6,3,2,4,8,7,0,4,8,9,8
%N Decimal expansion of least x>0 satisfying x^2+2x+1=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.398718475971114804506725257228099498174...
%t a = 1; b = 2; c = 1;
%t f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200346 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 16 2011
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