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It is defined in the following way: for any real number x1 > 0, there is a sequence defined by the recurrence relation
No closed form for the constant is known.
When x1 = α then we have the limit:
Notes and references
- Ewing, J. and Foias, C. "An Interesting Serendipitous Real Number." In Finite versus Infinite: Contributions to an Eternal Dilemma (Ed. C. Caluse and G. Păun). London: Springer-Verlag, pp. 119–126, 2000.