Catalan Transform of k-Balancing Sequences

Asim Patra, Mohammed K. A. Kaabar and Sergejs Solovjovs

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, 1-6

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9987314

DOI: 10.1155/2021/9987314

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