A201335 Decimal expansion of x satisfying 8*x^2 = cot(x) and 0 < x < Pi.

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

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=0.48627796782506586331338433096330021996589611...

Mathematica

a = 8; 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]   (* A201335 *)

Crossrefs

Cf. A201280.

Sequence in context: A175475 A193082 A348563 * A338942 A219246 A296488

Adjacent sequences: A201332 A201333 A201334 * A201336 A201337 A201338

Keyword

nonn,cons

Author

Clark Kimberling, Nov 30 2011

Status

approved