A generalization of the hyperbolic Pascal pyramid

Hacène Belbachir (), Fella Rami (), László Németh () and László Szalay ()
Additional contact information
Hacène Belbachir: USTHB
Fella Rami: USTHB
László Németh: USTHB
László Szalay: USTHB

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 1, 305-315

Abstract: Abstract In the present paper, we consider a variation of the hyperbolic Pascal pyramid where the three leg-sequences (the constant 1 sequence) are replaced by the sequences $$\lbrace \alpha _n\rbrace _{n\ge 0}$$ { α n } n ≥ 0 , $$\lbrace \beta _n\rbrace _{n\ge 0}$$ { β n } n ≥ 0 and $$\lbrace \gamma _n\rbrace _{n\ge 0}$$ { γ n } n ≥ 0 with $$\alpha _0=\beta _0=\gamma _0=\Omega $$ α 0 = β 0 = γ 0 = Ω , and we describe the values of elements. Then we give the recurrence relations associated to the sums of the values on levels in the generalized hyperbolic Pascal’s pyramids. The order of these recurrences is six.

Keywords: Pascal’s pyramid; Hyperbolic Pascal pyramid; Recursive sequences; System of linear recurrences; 05B45; 05A17; 11B37; 52C07; 11B39 (search for similar items in EconPapers)
Date: 2025
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-023-00481-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:56:y:2025:i:1:d:10.1007_s13226-023-00481-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-023-00481-4

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().