A NOTE ON EDOUARD SEQUENCE

In this study, we examine the k-Edouard, k-Edouard-Lucas, and Modified k-Edouard sequences, and some terms of these sequences, are given. Then, we give the generating functions, summation formulas, etc. Also, we obtain the Binet formulas in three different ways. The first is in the known classical way, the second is with the help of the sequence's generating functions, and the third is with the help of the matrices. In addition, we examine the relations among the terms of the k-Edouard, k-Edouard-Lucas, Modified k-Edouard, Edouard, Edouard-Lucas, Modified Edouard, Balancing, Balancing-Lucas, and Modified Balancing sequences. Finally, we associate the terms of these sequences with matrices.