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arXiv · 1111.4057

On the representation of k sequences of generalized order-k numbers

Kenan Kaygisiz·Adem Sahin
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Abstract

In this paper, we define k-generalized order-k numbers and we obtain a relation between i-th sequences and k-th sequences of k-generalized order-k numbers. We give some determinantal and permanental representations of k-generalized order-k numbers by using various matrices. Using the relation between i-th sequences and k-th sequences of k-generalized order-k numbers we give some determinantal and permanental representations of i-th sequences of generalized order-k numbers. In addition, we obtain Binet's formula for generalized order-k Pell numbers by using our representations.

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Kenan Kaygisiz, Adem Sahin. 2011-11-17. On the representation of k sequences of generalized order-k numbers. https://arxiv.org/abs/1111.4057

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