P. Mahanta

most citedSome properties of Zumkeller numbers and

k

-layered numbers

6 citations · 7 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2021

Partial sums of the Gibonacci sequence

Pankaj Jyoti Mahanta

Recently, Chu studied some properties of the partial sums of the sequence $P^{k} (F_{n})$ , where $P (F_{n}) = (\sum_{i = 1}^{n} F_{i})_{n \geq 1}$ and $(F_{n})_{n \geq 1}$ is the Fibonacci sequen…

math.NT2020★ 6 cited

Some properties of Zumkeller numbers and $k$ -layered numbers

Pankaj Jyoti Mahanta, Manjil P. Saikia, Daniel Yaqubi

Generalizing the concept of a perfect number is a Zumkeller or integer perfect number that was introduced by Zumkeller in 2003. The positive integer $n$ is a Zumkeller number if it…

math.CO2020

Some New and Old Gibonacci Identities

Pankaj Jyoti Mahanta, Manjil P. Saikia

We present a different combinatorial interpretations of Lucas and Gibonacci numbers. Using these interpretations we prove several new identities, and simplify the proofs of several…

math.CO2020★ 1 cited

A family of lacunary recurrences for Lucas Numbers