B. Tripathy · wovepaper

activity

20222025

collaborators

6 papers

On Diophantine equations involving intersection of Thabit and Williams numbers base $b$ and some ternary recurrent sequences

Bibhu Prasad Tripathy, Asutosh Satapathy, Utkal Keshari Dutta +1

Let $P_{n}$ be the $n$ -th Padovan number, $E_{n}$ be the $n$ -th Perrin number and $N_{n}$ be the $n$ -th Narayana's cows number. Let $b$ be a positive integer such that $b…

On balancing and Lucas-balancing numbers expressible as product of two $k$ -Fibonacci numbers

Bibhu Prasad Tripathy, Bijan Kumar Patel

A positive integer $n$ is called a balancing number if there exists a positive integer $r$ such that $1 + 2 + \dots + (n - 1) = (n + 1) + (n + 2) + \dots + (n + r)$ . The corresponding va…

Common terms of generalized Pell and Narayana's cows sequences

Bibhu Prasad Tripathy, Bijan Kumar Patel

For an integer $k \geq 2$ , let ${P_{n}^{(k)}}_{n}$ be the $k$ -generalized Pell sequence which starts with $0, \dots, 0, 1$ ( $k$ terms) and each term afterwards is the sum of $k$ p…

$k$ -Pell-Lucas numbers which are concatenations of two repdigits

Bibhu Prasad Tripathy, Bijan Kumar Patel

For any integer $k \geq 2$ , let ${Q_{n}^{(k)}}_{n \geq - (k - 2)}$ denote the $k$ -generalized Pell-Lucas sequence which starts with $0, \dots, 2, 2$ ( $k$ terms) where each next term…

$k$ -Pell-Lucas numbers as Product of Two Repdigits

Bibhu Prasad Tripathy, Bijan Kumar Patel

For any integer $k \geq 2$ , let ${Q_{n}^{(k)}}_{n \geq - (k - 2)}$ denote the $k$ -generalized Pell-Lucas sequence which starts with $0, \dots, 2, 2$ ( $k$ terms) where each next term…

Sums of three Fibonacci numbers close to a power of 2

Bibhu Prasad Tripathy, Bijan Kumar Patel

In this paper, we find all the sums of three Fibonacci numbers which are close to a power of 2. This paper continues and extends the previous work of Hasanalizade \cite{Hasanalizad…