9 citations · 16 across the 10 of their papers we have counts for
10 papers
Resolution of the Skolem Problem for -Generalized Lucas Sequences
Monalisa Mohapatra, Pritam Kumar Bhoi, Gopal Krishna Panda
This paper provides a complete solution to Skolem's problem for the -generalized Lucas sequence with a primary focus on its behavior at negative…
On perfect powers that are sum of two balancing numbers
Pritam Kumar Bhoi, Sudhansu Sekhar Rout, Gopal Krishna Panda
Let denote the term of balancing sequence. In this paper we find all positive integer solutions of the Diophantine equation in variables …
On the resolution of the Diophantine equation
P. K. Bhoi, S. S. Rout, G. K. Panda
Suppose that is a binary recurrence sequence and has a dominant root with and the discriminant is square-free. In this paper, we study the Diopha…
Sums of -units in sum of terms of recurrence sequences
P. K. Bhoi, S. S. Rout, G. K. Panda
Let be a finite set of primes and denote by the set of all rational integers whose prime factors are all in . Let $(U_n)_{n\geq 0…
Appearance of Balancing and related number sequences in steady state probabilities of some Markov chains
Asim Patra, Gopal Krishna Panda
Balancing and Lucas-balancing numbers are solutions of a Diophantine equation and satisfy a second order homogeneous recurrence relation. Interestingly, these numbers can be seen a…
Repdigits as products of consecutive balancing or Lucas-balancing numbers
Sai Gopal Rayaguru, Gopal Krishna Panda
Repdigits are natural numbers formed by the repetition of a single digit. In this paper, we explore the presence of repdigits in the product of consecutive balancing or Lucas-balan…