垂死的兔子问题重新审视
The dying rabbit problem revisited
摘要：
在本文中，我们研究了Fibonacci序列的推广，其中兔子是致命的，需要两个多月才能成熟。特别是，我们给出了这些序列的一般递推关系（改进了Hoggatt，VE.，小的; Lind，D. a.“垂死的兔子”斐波那契夸脱7，1969年第5期，482 - 487页），并明确地计算了它们的通项（扩展了Miles，E. P.，Jr.广义Fibonacci数及其相关矩阵。《美国数学月刊》1960年第67期，第745 - 752页）。顺便，作为一个技术要求，我们还研究了所考虑的序列的特征多项式的正实根的行为。
英文摘要：
In this paper we study a generalization of the Fibonacci sequence in which rabbits are mortal and take more that two months to become mature. In particular we give a general recurrence relation for these sequences (improving the work in the paper Hoggatt, V. E., Jr.; Lind, D. A. "The dying rabbit problem". Fibonacci Quart. 7 1969 no. 5, 482--487) and we calculate explicitly their general term (extending the work in the paper Miles, E. P., Jr. Generalized Fibonacci numbers and associated matrices. Amer. Math. Monthly 67 1960 745--752). In passing, and as a technical requirement, we also study the behavior of the positive real roots of the characteristic polynomial of the considered sequences.
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