A200357 Decimal expansion of least x>0 satisfying x^2+4x+4=tan(x).

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

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=1.48882393200495768901102568538544375793070...

Mathematica

a = 1; b = 4; 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]   (* A200357 *)

Crossrefs

Cf. A200338.

Sequence in context: A329506 A032566 A330555 * A201405 A331067 A040012

Adjacent sequences: A200354 A200355 A200356 * A200358 A200359 A200360

Keyword

nonn,cons

Author

Clark Kimberling, Nov 17 2011

Status

approved