CD Tesis
Hubungan Matriks Pascal Dan Matriks Tetranacci
The tetranacci number is a generalization of Fibonacci numbers whose form consists of the sum of the four previous term having begin with 0, 0, 0 and 1. Pascal’s triangle shape is geometrically obtained from the coefficients of the powers of summation of the two numbers, i.e. can be arranged in the from of a triangle. The numbers that exist in every row of the Pascal’s triangle is the coefficients in the binomial expansion of . Tetranacci numbers and Pascal’s triangle can be represented in the form of a square matrix, i.e. as a lower triangular matrix. Tetranacci matrix is written as, with each entry of the tetranacci matrix is a tetranacci numbers. Then, the Pascal matrix is written as , with each entry of the Pascal matrix is a numbers on the Pascal’s triangle. This thesis using method is algebraic method. The results obtained define two new matrices, i.e. and matrices. Then, we have some of the relations which is stated in the theorem, two different factorizations and the inverse characteristics of the tetranacci matrix.
Keywords: Tetranacci numbers, Pascal’s triangle, tetranacci matrix, Pascal’s matrix
Tidak tersedia versi lain