Recurrence Properties of Generalized Hexanacci Sequence
Yüksel Soykan *
Department of Mathematics, Faculty of Art and Science, Zonguldak Bülent Ecevit University, 67100, Zonguldak, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we investigate the recurrence properties of the generalized Hexanacci sequence under the mild assumption that the roots of the corresponding characerteristic polynomial are all distinct, and present how the generalized Hexanacci sequence at negative indices can be expressed by the sequence itself at positive indices.
Keywords: Hexanacci numbers, Hexanacci sequence, negative indices, recurrence relations