A201395 Decimal expansion of x satisfying 3*x^2 - 2 = cot(x) and 0 < x < Pi.

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

Offset

0,1

Comments

See A201280 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=0.9510552396966327790074212037212065628395...

Mathematica

a = 3; c = -2;
f[x_] := a*x^2 + c; g[x_] := Cot[x]
Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .95, .96}, WorkingPrecision -> 110]
RealDigits[r]    (* A201395 *)

Crossrefs

Cf. A201280.

Sequence in context: A199869 A197378 A232738 * A019881 A049256 A256191

Adjacent sequences: A201392 A201393 A201394 * A201396 A201397 A201398

Keyword

nonn,cons

Author

Clark Kimberling, Nov 30 2011

Status

approved