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Decimal expansion of least x>0 satisfying 8*x^2=tan(x).
2

%I #5 Mar 30 2012 18:58:01

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

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

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

%N Decimal expansion of least x>0 satisfying 8*x^2=tan(x).

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

%e x=1.516496282924123756012728352031579986526337...

%t a = 8; c = 0;

%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, 1.51, 1.52}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200644 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 20 2011