A200394 Decimal expansion of least x>0 satisfying 3*x^2+2*x+4=tan(x).

1, 4, 9, 8, 0, 8, 5, 9, 8, 7, 2, 5, 6, 7, 2, 2, 2, 7, 8, 4, 6, 0, 3, 0, 0, 8, 9, 0, 4, 3, 0, 0, 9, 5, 0, 9, 7, 9, 5, 6, 4, 9, 2, 5, 3, 1, 8, 2, 1, 5, 6, 1, 4, 0, 5, 9, 1, 9, 3, 0, 2, 8, 2, 1, 0, 8, 6, 1, 8, 0, 5, 6, 8, 8, 3, 2, 5, 0, 0, 1, 8, 4, 5, 7, 5, 0, 9, 0, 5, 7, 9, 4, 1, 3, 7, 0, 9, 3, 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=1.498085987256722278460300890430095097956492531...

Mathematica

a = 3; b = 2; 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]  (* A200394 *)

Crossrefs

Cf. A200338.

Sequence in context: A159643 A200398 A145424 * A249272 A280630 A215617

Adjacent sequences: A200391 A200392 A200393 * A200395 A200396 A200397

Keyword

nonn,cons

Author

Clark Kimberling, Nov 17 2011

Status

approved