Recently Nathaniel Shar presented a finite sum, involving the Fibonacci numbers, that generalizes a classical result first considered by I. J. Good and others. In this paper we provide a generalization of Shar’s sum. Furthermore, we give an analogue for the Lucas numbers. Finally we note that our generalization of Shar’s sum and its analogue for the Lucas numbers carry over to certain one parameter generalizations of the Fibonacci and Lucas numbers.
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机译：最近，Nathaniel Shar呈现了一个有限的金额，涉及斐波纳契数，概括了第一款经典结果，首先由I. J. Good和其他人考虑。在本文中，我们提供了股票总和的概括。此外，我们为卢卡斯数字提供类似物。最后，我们指出，我们的股票总和的概括和卢卡斯数字的模拟涉及Fibonacci和Lucas数字的某些参数概括。
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