A201336 Decimal expansion of x satisfying 9*x^2 = cot(x) and 0 < x < Pi.

4, 6, 8, 5, 4, 0, 5, 4, 7, 6, 8, 9, 1, 2, 8, 6, 5, 9, 1, 2, 2, 9, 2, 7, 7, 8, 5, 7, 6, 1, 7, 4, 3, 1, 3, 1, 1, 4, 6, 0, 2, 2, 6, 7, 1, 6, 1, 4, 6, 6, 3, 0, 2, 9, 6, 7, 0, 1, 5, 9, 2, 9, 0, 6, 2, 5, 9, 5, 2, 4, 4, 9, 6, 2, 6, 5, 8, 2, 1, 2, 1, 6, 7, 2, 2, 9, 9, 2, 7, 8, 0, 1, 2, 3, 0, 1, 7, 5, 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=0.4685405476891286591229277857617431311460...

Mathematica

a = 9; 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, .4, .5}, WorkingPrecision -> 110]
RealDigits[r]   (* A201336 *)

Crossrefs

Cf. A201280.

Sequence in context: A083257 A286366 A331059 * A244850 A188930 A332331

Adjacent sequences: A201333 A201334 A201335 * A201337 A201338 A201339

Keyword

nonn,cons

Author

Clark Kimberling, Nov 30 2011

Status

approved