Relationship of The First Type Stirling Matrix With Tetranacci Matrix

Yuliza Saputri; Sri Gemawati; Kartini

doi:https://doi.org/10.14445/22315373/IJMTT-V66I2P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 2 | Year 2020 | Article Id. IJMTT-V66I2P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I2P502

Relationship of The First Type Stirling Matrix With Tetranacci Matrix

Yuliza Saputri, Sri Gemawati, Kartini

Citation :

Yuliza Saputri, Sri Gemawati, Kartini, "Relationship of The First Type Stirling Matrix With Tetranacci Matrix," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 2, pp. 9-14, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I2P502

Abstract

The first Stirling Matrix is a matrix whose entries contain the first Stirling number which is denoted by Sn(1). The first Stirling number is the number of arrays of n objects into non-empty cyclical permutations. Furthermore, the Mn tetranacci matrix is the lower triangular matrix of the tetranacci rows with each entry being the main diagonal tetranacci number 1. The tetranacci sequence is a generalization of the Fibonacci sequence which consists of the sum of the four previous terms beginning with the terms 0,0,0,1. In this article discusses the first type Stirling matrix, the tetranacci matrix and the relationship of the first type Stirling matrix with the tetranacci matrix to obtain a new matrix called the Hn matrix. Then the Hn matrix can be expressed in the form Hn = Sn(1)Mn-1.

Keywords

The first Stirling number, the tetranacci number, the first Stirling matrix and the tetranacci matrix.

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