Foias constant

In mathematical analysis, the Foias constant is a real number named after Ciprian Foias.

For all other values of x1, the sequence is divergent as well, but it has two accumulation points: 1 and infinity.

[1] Numerically, it is No closed form for the constant is known.

When x1 = α then the growth rate of the sequence (xn) is given by the limit where "log" denotes the natural logarithm.

[1] The same methods used in the proof of the uniqueness of the Foias constant may also be applied to other similar recursive sequences.