10 citations · 21 across the 14 of their papers we have counts for
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On the number of partitions of whose product of the summands is at most
Pankaj Jyoti Mahanta
We prove an explicit formula to count the partitions of whose product of the summands is at most . In the process, we also deduce a result to count the multiplicative partit…
Some properties of Zumkeller numbers and -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 is a Zumkeller number if it…
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…
A family of lacunary recurrences for Lucas Numbers
Pankaj Jyoti Mahanta, Manjil P. Saikia
We prove an infinite family of lacunary recurrences for the Lucas numbers using combinatorial means.