Random Approaches to Fibonacci Identities
نویسندگان
چکیده
Many combinatorialists live by Mach’s words, and take it as a personal challenge. For example, nearly all of the Fibonacci identities in [5] and [6] have been explained by counting arguments [1, 2, 3]. Among the holdouts are those involving infinite sums and irrational quantities. However, by adopting a probabilistic viewpoint, many of the remaining identities can be explained combinatorially. As we shall demonstrate, even the “irrational-looking” Binet’s formula for the n-th Fibonacci number
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ورودعنوان ژورنال:
- The American Mathematical Monthly
دوره 107 شماره
صفحات -
تاریخ انتشار 2000