A201329 Decimal expansion of x satisfying 2*x^2 = cot(x) and 0 < x < Pi.

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

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=0.73999667654849330834554350345792756853...

Mathematica

a = 2; 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, .7, .8}, WorkingPrecision -> 110]
RealDigits[r]   (* A201329 *)

Crossrefs

Cf. A201280.

Sequence in context: A195725 A105168 A134883 * A084000 A168197 A257324

Adjacent sequences: A201326 A201327 A201328 * A201330 A201331 A201332

Keyword

nonn,cons

Author

Clark Kimberling, Nov 30 2011

Status

approved