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A200597 Decimal expansion of least x>0 satisfying 3*x^2-4*x+2=tan(x). 2

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

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

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

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

%N Decimal expansion of least x>0 satisfying 3*x^2-4*x+2=tan(x).

%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.597790706881937521837255088417440045785106968...

%t a = 3; b = -4; c = 2;

%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, .2, .3}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200597 *)

%Y Cf. A200338.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 19 2011

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Last modified April 24 11:01 EDT 2024. Contains 371936 sequences. (Running on oeis4.)