The Golden-fibonacci Equivalence
نویسنده
چکیده
We shall refer to A and B as the large and the small Golden Ratios, respectively, and shall in general simply refer to these and their powers collectively as Golden Numbers. Likewise, the ratio between the neighboring Fibonacci Numbers un+i/un will be called the large Fibonacci Ratio. Here, "large" means that the suffices n + 1 > n, without inference to the values of the u s or their ratio. Its negative reciprocal will be referred to as the small Fibonacci ratio. The line-sequences (2.1) and (2.2) are found to be:
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