A200399 Decimal expansion of least x>0 satisfying 3*x^2+4*x+2=tan(x).

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

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=1.5032991162704427481267095746006942089544887420...

Mathematica

a = 3; b = 4; c = 2;
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, 1.5, 1.6}, WorkingPrecision -> 110]
RealDigits[r]  (* A200399 *)

Crossrefs

Cf. A200338.

Sequence in context: A326188 A201524 A230438 * A161485 A326054 A062526

Adjacent sequences: A200396 A200397 A200398 * A200400 A200401 A200402

Keyword

nonn,cons

Author

Clark Kimberling, Nov 17 2011

Status

approved