A200599 Decimal expansion of least x>0 satisfying 3*x^2-4*x+4=tan(x).

1, 3, 2, 3, 4, 9, 9, 6, 2, 2, 7, 1, 9, 5, 6, 0, 4, 9, 9, 3, 3, 3, 9, 3, 8, 5, 0, 5, 1, 5, 4, 9, 9, 7, 6, 3, 8, 6, 7, 7, 6, 2, 2, 7, 6, 0, 0, 7, 5, 2, 3, 6, 3, 3, 6, 8, 5, 5, 1, 5, 3, 5, 1, 6, 6, 2, 6, 3, 7, 2, 8, 1, 8, 0, 2, 2, 3, 7, 9, 7, 1, 8, 0, 6, 9, 1, 9, 0, 3, 6, 4, 3, 9, 9, 7, 7, 2, 2, 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=1.3234996227195604993339385051549976386776227600...

Mathematica

a = 3; 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, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r]    (* A200599 *)

Crossrefs

Cf. A200338.

Sequence in context: A268289 A201907 A003559 * A239947 A173093 A236361

Adjacent sequences: A200596 A200597 A200598 * A200600 A200601 A200602

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved