Catalan Transform of k‐Balancing Sequences

Asim Patra and Mohammed K. A. Kaabar

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, issue 1

Abstract: In this work, the Catalan transformation (CT) of k‐balancing sequences, Bk,nn≥0, is introduced. Furthermore, the obtained Catalan transformation CBk,nn≥0 was shown as the product of lower triangular matrices called Catalan matrices and the matrix of k‐balancing sequences, Bk,nn≥0, which is an n × 1 matrix. Apart from that, the Hankel transform is applied further to calculate the determinant of the matrices formed from CBk,nn≥0.

Date: 2021
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https://doi.org/10.1155/2021/9987314

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jijmms:v:2021:y:2021:i:1:n:9987314

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