A200605 Decimal expansion of least x>0 satisfying 4*x^2-2*x+3=tan(x).

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=1.45439713056258019365396314995213521786510471954...

Mathematica

a = 4; b = -2; c = 3;
f[x_] := a*x^2 + b*x + 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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r]   (* A200605 *)

Crossrefs

Cf. A200338.

Sequence in context: A016717 A366153 A031349 * A036444 A329505 A125583

Adjacent sequences: A200602 A200603 A200604 * A200606 A200607 A200608

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved