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.
引用
收藏
页码：74 / 79
页数：5
相关论文
共 50 条
  • [31] The Jacobsthal-Padovan-Fibonacci p-sequence and its application in the concise representation of vibrating systems with dual proximal groups
    Erdag, Ozgur
    Peters, James F.
    Deveci, Omur
    JOURNAL OF SUPERCOMPUTING, 2025, 81 (01):
  • [32] Convergence of the iterated Aluthge transform sequence for diagonalizable matrices
    Antezana, Jorge
    Pujals, Enrique R.
    Stojanoff, Dernetrio
    ADVANCES IN MATHEMATICS, 2007, 216 (01) : 255 - 278
  • [33] Matrices with Fibonacci polynomials
    Gauthier, N
    Gosselin, JR
    FIBONACCI QUARTERLY, 2003, 41 (02): : 191 - 192
  • [34] Factorizations and eigenvalues of fibonacci and symmetric fibonacci matrices
    Lee, GY
    Kim, JS
    Lee, SG
    FIBONACCI QUARTERLY, 2002, 40 (03): : 203 - 211
  • [35] Lower Bound for Matrices on the Fibonacci Sequence Spaces and its Applications in Frame Theory
    Mohammad Ali Dehghan
    Gholamreza Talebi
    Results in Mathematics, 2017, 72 : 1087 - 1107
  • [36] Multiplicative Dependent Pairs in the Sequence of Padovan Numbers
    Behera, Mitashree
    Ray, Prasanta Kumar
    MATHEMATICA SLOVACA, 2023, 73 (05) : 1135 - 1144
  • [37] Convergence of the Iterated Aluthge Transform Sequence for Diagonalizable Matrices II: λ-Aluthge Transform
    Jorge Antezana
    Enrique Pujals
    Demetrio Stojanoff
    Integral Equations and Operator Theory, 2008, 62 : 465 - 488
  • [38] Convergence of the Iterated Aluthge Transform Sequence for Diagonalizable Matrices II: λ-Aluthge Transform
    Antezana, Jorge
    Pujals, Enrique
    Stojanoff, Demetrio
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2008, 62 (04) : 465 - 488
  • [39] Lower Bound for Matrices on the Fibonacci Sequence Spaces and its Applications in Frame Theory
    Dehghan, Mohammad Ali
    Talebi, Gholamreza
    RESULTS IN MATHEMATICS, 2017, 72 (03) : 1087 - 1107
  • [40] THE MATRICES OF FIBONACCI NUMBERS
    ER, MC
    FIBONACCI QUARTERLY, 1984, 22 (02): : 134 - 139
12345