A200638 Decimal expansion of least x>0 satisfying 6*x^2+5=tan(x).

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..103.

Example

x=1.517713318679092816986255981206521728558164...

Mathematica

a = 6; c = -5;
f[x_] := a*x^2 - c; g[x_] := Tan[x]
Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.6}, WorkingPrecision -> 110]
RealDigits[r]  (* A200638 *)

Crossrefs

Cf. A200338.

Sequence in context: A101263 A187561 A088515 * A322104 A100122 A368668

Adjacent sequences: A200635 A200636 A200637 * A200639 A200640 A200641

Keyword

nonn,cons

Author

Clark Kimberling, Nov 20 2011

Status

approved