A200593 Decimal expansion of least x>0 satisfying 3*x^2-3*x+1=tan(x).

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

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=0.3272837301595308411560011433843247744076191342...

Mathematica

a = 3; b = -3; c = 1;
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]    (* A200593 *)

Crossrefs

Cf. A200338.

Sequence in context: A174238 A361145 A175920 * A249112 A265219 A349211

Adjacent sequences: A200590 A200591 A200592 * A200594 A200595 A200596

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved