A201294 Decimal expansion of x satisfying x^2 = cot(x) and 0 < x < Pi.

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

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.

Index entries for transcendental numbers.

Example

0.8952060453842318500755507995491685925...

Mathematica

a = 1; c = 0;
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, .8, .9}, WorkingPrecision -> 110]
RealDigits[r]   (* A201294 *)

Crossrefs

Cf. A201280.

Sequence in context: A203071 A091725 A029689 * A199383 A199460 A245772

Adjacent sequences: A201291 A201292 A201293 * A201295 A201296 A201297

Keyword

nonn,cons,changed

Author

Clark Kimberling, Nov 29 2011

Status

approved