The Fibonacci-Padovan sequence and MacWilliams transform matrices

被引：0
|
作者：
N. D. Gogin
A. A. Myllari
机构：
[1] University of Turku,
来源：
Programming and Computer Software | 2007年 / 33卷
关键词：
Horizontal Section; Computer Algebra System; Dual Code; Fibonacci Number; Fibonacci Sequence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A relationship between the MacWilliams transform matrices and the classical integer Fibonacci, Lucas, and Padovan sequences is established. Namely, it is proved that the summation over some naturally chosen planes in the pyramid composed of these matrices yields a new integer sequence, which is the convolution of the Fibonacci numbers and the (alternating) Padovan numbers. In turn, this convolution is linearly represented in terms of the Lucas numbers and the Padovan numbers.
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页码：74 / 79
页数：5
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