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A200691 Decimal expansion of least x>0 satisfying 7-x^2=tan(x). 2

%I

%S 1,3,7,7,2,8,8,1,9,6,8,0,4,0,2,9,3,6,0,2,4,2,7,6,0,4,4,1,0,7,8,4,1,3,

%T 5,2,5,5,7,4,8,6,0,9,1,9,6,7,3,0,0,1,9,9,2,2,9,0,8,9,4,5,6,9,9,7,3,7,

%U 8,5,4,4,1,3,7,3,0,4,0,8,0,6,1,8,5,6,6,9,5,3,5,2,4,6,7,3,0,0,1

%N Decimal expansion of least x>0 satisfying 7-x^2=tan(x).

%C See A200614 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.377288196804029360242760441078413525574860...

%t a = -1; c = 7;

%t f[x_] := a*x^2 + 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] (* A200691 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 21 2011

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Last modified March 28 05:38 EDT 2020. Contains 333073 sequences. (Running on oeis4.)