A200483 Decimal expansion of least x>0 satisfying x^2-2x+3=tan(x).

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

Offset

1,4

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=1.10953691877103775130917835907356148579...

Mathematica

a = 1; b = -2; c = 3;
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, 1.1, 1.2}, WorkingPrecision -> 110]
RealDigits[r]   (* A200483 *)

Crossrefs

Cf. A200338.

Sequence in context: A201515 A343619 A259982 * A057888 A182125 A010542

Adjacent sequences: A200480 A200481 A200482 * A200484 A200485 A200486

Keyword

nonn,cons,changed

Author

Clark Kimberling, Nov 18 2011

Status

approved