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GCD Properties of an Octagon

In: Applications of Fibonacci Numbers

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  • Ed Korntved

Abstract

Certain polygonal figures in Pascal’s triangle have nice multiplicative or greatest common divisor properties. Any polygonal figure with an even number of entries per side can be decomposed into two sets of binomial coefficients whose products are the same [6]. The two sets are formed by alternating the entries among the two sets. The greatest common divisor properties of these sets have also been investigated. (See, for example, [1], [3], [4], and [5].) The greatest common divisor of the two sets are not always equal. In this article we present a polygon which has an even number of entries per side, for which the greatest common divisors of the two sets are not equal but have an interesting relationship nonetheless.

Suggested Citation

  • Ed Korntved, 1996. "GCD Properties of an Octagon," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 297-302, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-0223-7_25
    DOI: 10.1007/978-94-009-0223-7_25
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