A201327 Decimal expansion of x satisfying 9*x^2 - 1 = cot(x) and 0 < x < Pi.

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

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=0.543245472511065637161807400724287350...

Mathematica

a = 9; c = -1;
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, .5, .6}, WorkingPrecision -> 110]
RealDigits[r]   (* A201327 *)

Crossrefs

Cf. A201280.

Sequence in context: A223475 A190137 A003561 * A329457 A081760 A261218

Adjacent sequences: A201324 A201325 A201326 * A201328 A201329 A201330

Keyword

nonn,cons

Author

Clark Kimberling, Nov 30 2011

Status

approved