A200390 Decimal expansion of least x>0 satisfying 3*x^2+x+4=tan(x).

1, 4, 8, 8, 5, 8, 4, 1, 5, 4, 5, 8, 6, 8, 7, 1, 3, 8, 9, 6, 6, 6, 1, 6, 4, 5, 2, 9, 2, 8, 9, 8, 6, 4, 0, 5, 2, 2, 8, 8, 2, 8, 9, 7, 0, 2, 0, 0, 9, 2, 0, 5, 3, 6, 2, 6, 6, 5, 7, 5, 7, 1, 7, 5, 6, 0, 5, 4, 2, 8, 6, 0, 1, 0, 2, 2, 3, 9, 3, 0, 6, 2, 6, 1, 9, 1, 7, 0, 8, 8, 2, 2, 4, 5, 6, 2, 8, 2, 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=1.48858415458687138966616452928986405228828970200...

Mathematica

a = 3; b = 1; c = 4;
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]  (* A200390 *)

Crossrefs

Cf. A200338.

Sequence in context: A343881 A227896 A114610 * A137209 A329506 A032566

Adjacent sequences: A200387 A200388 A200389 * A200391 A200392 A200393

Keyword

nonn,cons

Author

Clark Kimberling, Nov 17 2011

Status

approved