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Binomial transforms of p-Mersenne and p-Mersenne-Lucas sequences.

Authors :
Devi, B. Malini
Devibala, S.
Source :
AIP Conference Proceedings. 2024, Vol. 3180 Issue 1, p1-16. 16p.
Publication Year :
2024

Abstract

In this communication, we propose the binomial, p-binomial, rising, and falling transforms of p-Mersenne and p-Mersenne-Lucas sequences. We additionally obtain recurrence relations, Binet's formula, generating functions, and the frame Pascal form of the p-Mersenne and p-Mersenne-Lucas triangles. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*GENERATING functions

Details

Language :
English
ISSN :
0094243X
Volume :
3180
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
178839877
Full Text :
https://doi.org/10.1063/5.0224983