M. Ddamulira

activity

20172025

most citedOn a problem of Pillai with Fibonacci numbers and powers of 2

33 citations · 58 across the 17 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020

Padovan numbers that are concatenations of two distinct repdigits

Mahadi Ddamulira

Let $(P_{n})_{n \geq 0}$ be the sequence of Padovan numbers defined by $P_{0} = 0$ , $P_{1} = 1 = P_{2}$ , and $P_{n + 3} = P_{n + 1} + P_{n}$ for all $n \geq 0$ . In this paper, we find all Padovan…

math.NT2020★ 4 cited

On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences

Mahadi Ddamulira, Florian Luca

Let $r \geq 1$ be an integer and $U := (U_{n})_{n \geq 0}$ be the Lucas sequence given by $U_{0} = 0$ , $U_{1} = 1,$ and $U_{n + 2} = r U_{n + 1} + U_{n}$ , for all $n \geq 0$ . In this paper, we show…