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 2019Show all

5 papers · 1 filter

math.NT2019

Repdigits as sums of three Padovan numbers

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 repd…

math.NT2019

On the $x$ --coordinates of Pell equations which are products of two: Lucas numbers, Pell numbers

Mahadi Ddamulira

Let ${L_{n}}_{n \geq 0}$ be the sequence of Lucas numbers given by $L_{0} = 2, L_{1} = 1$ and $L_{n + 2} = L_{n + 1} + L_{n}$ for all $n \geq 0$ . In the first paper, for an integer $d \geq 2$ w…

math.NT2019★ 1 cited

On the $x -$ coordinates of Pell equations which are sums of two Padovan numbers

Mahadi Ddamulira

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

math.NT2019★ 15 cited

On the problem of Pillai with $k$ --generalized Fibonacci numbers and powers of $3$

Mahadi Ddamulira, Florian Luca

For an integer $k \geq 2$ , let ${F_{n}^{(k)}}_{n \geq 2 - k}$ be the $k$ --generalized Fibonacci sequence which starts with $0, \dots, 0, 1$ (a total of $k$ terms) and for which each t…

math.NT2019

On the problem of Pillai with Fibonacci numbers, Padovan numbers, and Tribonacci numbers and powers of $3$

Mahadi Ddamulira

Consider the sequences: ${F_{n}}_{n \geq 0}$ of Fibonacci numbers defined by $F_{0} = 0$ , $F_{1} = 1$ and $F_{n + 2} = F_{n + 1} + F_{n}$ for all $n \geq 0$ ; ${P_{n}}_{n \geq 0}$ of…

Repdigits as sums of three Padovan numbers

On the x--coordinates of Pell equations which are products of two: Lucas numbers, Pell numbers

On the x−coordinates of Pell equations which are sums of two Padovan numbers

On the problem of Pillai with k--generalized Fibonacci numbers and powers of 3

On the problem of Pillai with Fibonacci numbers, Padovan numbers, and Tribonacci numbers and powers of 3

On the $x$ --coordinates of Pell equations which are products of two: Lucas numbers, Pell numbers

On the $x -$ coordinates of Pell equations which are sums of two Padovan numbers

On the problem of Pillai with $k$ --generalized Fibonacci numbers and powers of $3$

On the problem of Pillai with Fibonacci numbers, Padovan numbers, and Tribonacci numbers and powers of $3$