Linear recurrence sequence associated to rays of negatively extended Pascal triangle
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Published:2022-03-22
Issue:1
Volume:28
Page:129-142
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ISSN:1310-5132
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Container-title:Notes on Number Theory and Discrete Mathematics
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language:
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Short-container-title:NNTDM
Author:
Belbachir Hacène, ,Bouyakoub Abdelkader,Krim Fariza, , ,
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.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)