A200398 Decimal expansion of least x>0 satisfying 3*x^2+4*x+1=tan(x).

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

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=1.498064291275659004588361096015654898281433527...

Mathematica

a = 3; b = 4; 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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r]  (* A200398 *)

Crossrefs

Cf. A200338.

Sequence in context: A212877 A205297 A159643 * A145424 A200394 A249272

Adjacent sequences: A200395 A200396 A200397 * A200399 A200400 A200401

Keyword

nonn,cons

Author

Clark Kimberling, Nov 17 2011

Status

approved