A200587 Decimal expansion of least x>0 satisfying 3*x^2-x+3=tan(x).

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

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=1.4433963575054844250056881479525166111775539...

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]   (* A200587 *)

Crossrefs

Cf. A200338.

Sequence in context: A305403 A344895 A020805 * A307836 A106147 A202393

Adjacent sequences: A200584 A200585 A200586 * A200588 A200589 A200590

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved