B. Tripathy

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20222025

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math.NT2025

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…

math.NT2025

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…

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

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

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

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