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A200364 Decimal expansion of least x>0 satisfying 2*x^2+2*x+1=tan(x). 2

%I

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

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

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

%N Decimal expansion of least x>0 satisfying 2*x^2+2*x+1=tan(x).

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

%e x=1.447775538428493981408399172474779832806162909038...

%t a = 2; 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, 1.4, 1.5}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200364 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 17 2011

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Last modified May 26 19:44 EDT 2019. Contains 323597 sequences. (Running on oeis4.)