Recurrence relation associated with the sums of square binomial coefficients

Our purpose is to describe the recurrence relation associated to the sums of diagonal elements lying along a finite ray of square binomial triangle. We also give the generating function. As consequences of the main theorem we prove some recurrence relations conjectured in Sloane's OEIS, further...

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Bibliographic Details
Published in:Quaestiones mathematicae 2021-05, Vol.44 (5), p.615-624
Main Authors: Belbachir, Hacène, Mehdaoui, Abdelghani
Format: Article
Language:English
Subjects:
Binomial coefficients
Combinatorial analysis
generating function
Recurrence relation
square binomials
Sums
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Summary:Our purpose is to describe the recurrence relation associated to the sums of diagonal elements lying along a finite ray of square binomial triangle. We also give the generating function. As consequences of the main theorem we prove some recurrence relations conjectured in Sloane's OEIS, furthermore we also give some combinatorial identities.
ISSN:1607-3606
1727-933X
DOI:10.2989/16073606.2020.1729269