Chapter 17 Perrin’s First Sequence and Other Isomorphic Recurrence Sequences

Perrin’s short Query in 1899 mentions two sequences; the first a Fibonacci sequence and the second the famous Perrin sequence.  This Chapter looks at their origin and discusses the relationship between various Fibonacci and Perrin sequences.  The objective is to begin a discussion in number theory and combinatorics on arranging numbers into various integer partitions. The size and number of these partitions are found and can be reduced to sequences of integers.

Perrin’s First Sequence and Other Isomorphic Recurrence Sequences_

 

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