PARTIAL SUMS OF THE FIBONACCI SEQUENCE

被引：0

作者：

Hung Viet Chu ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61820 USA

来源：

FIBONACCI QUARTERLY | 2021年 / 59卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (F-n)(n >= 1) be the Fibonacci sequence. Define P(F-n) = (Sigma(n)(i=1) F-i)(n >= 1); that is, the function P gives the sequence of partial sums of (F-n). In this paper, we first give an identity involving P-k (F-n), which is the resulting sequence by applying P to (F-n) k times. Second, we provide a combinatorial interpretation of the numbers in P-k (F-n).

引用

页码：132 / 135

页数：4

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