Amit Kumar Basistha

collaborators

2 papers

math.NT2024

Sum of Consecutive Terms of Pell and Related Sequences

Navvye Anand, Amit Kumar Basistha, Kenny B. Davenport +4

We study new identities related to the sums of adjacent terms in the Pell sequence, defined by $P_{n} := 2 P_{n - 1} + P_{n - 2}$ for $n \geq 2$ and $P_{0} = 0, P_{1} = 1$ , and generalize the…

math.NT2023

A special sequence and primorial numbers

Amit Kumar Basistha, Eugen J. Ionascu

In this paper, we study a class of functions defined recursively on the set of natural numbers in terms of the greatest common divisor algorithm of two numbers and requiring a mini…