A201287 Decimal expansion of x satisfying x^2 + 8 = cot(x) and 0 < x < Pi.

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

Offset

0,2

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=0.124118437130131765238539423187742114...

Mathematica

a = 1; c = 8;
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, .1, .2}, WorkingPrecision -> 110]
RealDigits[r]    (* A201287 *)

Crossrefs

Cf. A201280.

Sequence in context: A187913 A329458 A332010 * A236367 A197489 A297966

Adjacent sequences: A201284 A201285 A201286 * A201288 A201289 A201290

Keyword

nonn,cons

Author

Clark Kimberling, Nov 29 2011

Status

approved