A200389 Decimal expansion of least x>0 satisfying 3*x^2+x+3=tan(x).

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

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..101.

Example

x=1.48060251247447439559464689440710131245699201...

Mathematica

a = 3; b = 1; 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]  (* A200389 *)

Crossrefs

Cf. A200338.

Sequence in context: A342995 A253191 A199777 * A195455 A195288 A251992

Adjacent sequences: A200386 A200387 A200388 * A200390 A200391 A200392

Keyword

nonn,cons

Author

Clark Kimberling, Nov 17 2011

Status

approved