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Some Diophantine Equations involving associated Pell numbers and repdigits
Monalisa Mohapatra, Pritam Kumar Bhoi, Gopal Krishna Panda
In this paper, we explore the relationship between repdigits and associated Pell numbers, specifically focusing on two main aspects: expressing repdigits as the difference of two a…
Repdigits as difference of two balancing or Lucas-balancing numbers
Monalisa Mohapatra, Pritam Kumar Bhoi, Gopal Krishna Panda
Repdigits are natural numbers formed by the repetition of a single digit. In this paper, we study the problem of writing repdigits as the difference of two balancing or Lucas-balan…
Balancing and Lucas-balancing numbers as difference of two repdigits
Monalisa Mohapatra, Pritam Kumar Bhoi, Gopal Krishna Panda
Positive integers with all digits equal are called repdigits. In this paper, we find all balancing and Lucas-balancing numbers, which can be expressed as the difference of two repd…
Sum of terms of recurrence sequences in the solution sets of generalized Pell equations
Pritam Kumar Bhoi, Rudranarayan Padhy, Sudhansu Sekhar Rout
Let and be the sequence of and -coordinates of the positive integer solutions of the equation . In this paper…