Summary
In this article we derive the distribution, mean and variance of the number of cycles in a randomly selected permutation of the first n integers.
In this note properties of two sequences generated by the recurrence relation Gn ‡2ˆ4Gn ‡1 ¡ Gn, are studied. It is shown that one of the sequences leads to a family of diophantine triplets. Some interesting properties of these sequences are also established.
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