A200490 Decimal expansion of least x>0 satisfying x^2-4x+2=tan(x).

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

Offset

0,1

Comments

See A200338 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.4314435449670455351548743875085538737040...

Mathematica

a = 1; 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, .43, .44}, WorkingPrecision -> 110]
RealDigits[r]    (* A200490 *)

Crossrefs

Cf. A200338.

Sequence in context: A342813 A296218 A130806 * A016499 A295677 A066204

Adjacent sequences: A200487 A200488 A200489 * A200491 A200492 A200493

Keyword

nonn,cons

Author

Clark Kimberling, Nov 18 2011

Status

approved