Linear recurrence sequence associated to rays of negatively extended Pascal triangle
- 22 March 2022
- journal article
- research article
- Published by Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) in Notes on Number Theory and Discrete Mathematics
- Vol. 28 (1), 129-142
- https://doi.org/10.7546/nntdm.2022.28.1.129-142
Abstract
We consider the extension of generalized arithmetic triangle to negative values of rows and we describe the recurrence relation associated to the sum of diagonal elements laying along finite rays. We also give the corresponding generating function. We conclude by an application to Fibonacci numbers and Morgan-Voyce polynomials with negative subscripts.Keywords
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