A200342 Decimal expansion of least x>0 satisfying x^2+x+1=tan(x).

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

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=1.331891417552288203767329149758089201...

Mathematica

a = 1; b = 1; c = 1;
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, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r]   (* A200342 *)

Crossrefs

Cf. A200338.

Sequence in context: A248976 A160332 A293294 * A181330 A350253 A262143

Adjacent sequences: A200339 A200340 A200341 * A200343 A200344 A200345

Keyword

nonn,cons

Author

Clark Kimberling, Nov 16 2011

Status

approved