A201330 Decimal expansion of x satisfying 3*x^2 = cot(x) and 0 < x < Pi.

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

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=0.6572340662164946356377910992067147705...

Mathematica

a = 3; 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, .6, .7}, WorkingPrecision -> 110]
RealDigits[r]   (* A201330 *)

Crossrefs

Cf. A201280.

Sequence in context: A071176 A243091 A195786 * A089826 A211172 A152149

Adjacent sequences: A201327 A201328 A201329 * A201331 A201332 A201333

Keyword

nonn,cons

Author

Clark Kimberling, Nov 30 2011

Status

approved