Relationship of The First Type Stirling Matrix With Tetranacci Matrix

**MLA Style:**Yuliza Saputri, Sri Gemawati, Kartini "Relationship of The First Type Stirling Matrix With Tetranacci Matrix" International Journal of Mathematics Trends and Technology 66.2 (2020):9-14.

**APA Style: **Yuliza Saputri, Sri Gemawati, Kartini(2020). Relationship of The First Type Stirling Matrix With Tetranacci Matrix International Journal of Mathematics Trends and Technology, 9-14.

**Abstract**

The first Stirling Matrix is a matrix whose entries contain the first Stirling number which is denoted by S_{n}(1). The first Stirling number is the number of arrays of n objects into non-empty cyclical permutations. Furthermore, the M_{n }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 H_{n }matrix. Then the H_{n} matrix can be expressed in the form H_{n }= S_{n}(1)M_{n}^{-1}.

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**Keywords**

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