Document Type : Research Paper

Authors

• Yuksel Soykan ¹
• Erkan Taşdemir ²
• Nejla Ozmen ³

¹ Zonguldak Bulent Ecevit University, Department of Mathematics, Art and Science Faculty, 67100, Zonguldak, Turkey

² Kirklareli University, Pinarhisar Vocational School, 39300, Kirklareli, Turkey

³ Duzce University, Faculty of Art and Science, Department of Mathematics, 81620, Duzce, Turkey

Abstract

In this paper, we define the binomial transform of the generalized Jacobsthal-Padovan sequence and as special cases, the binomial transform of the Jacobsthal-Padovan, Jacobsthal-Perrin, adjusted Jacobsthal-Padovan, modified Jacobsthal-Padovan sequences will be introduced. We investigate their properties in details.

Keywords

• binomial transform
• Jacobsthal-Padovan sequence
• Jacobsthal-Padovan numbers
• Jacobsthal-Perrin sequence
• Jacobsthal-Perrin numbers
• binomial transform of Jacobsthal-Padovan sequence
• generalized Tribonacci sequence