A200594 Decimal expansion of least x>0 satisfying 3*x^2-3*x+2=tan(x).

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

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..100.

Example

x=1.23613178751523722413457003173658978215262520...

Mathematica

a = 3; b = -3; 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, 1.2, 1.3}, WorkingPrecision -> 110]
RealDigits[r]   (* A200594 *)

Crossrefs

Cf. A200338.

Sequence in context: A178483 A133031 A275732 * A319191 A124795 A368547

Adjacent sequences: A200591 A200592 A200593 * A200595 A200596 A200597

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved