F. Luca

collaborators

2 papers

math.CO2025

Concatenations of Terms of an Arithmetic Progression

Florian Luca, Bertrand Teguia Tabuguia

Let $(u (n))_{n \in N}$ be an arithmetic progression of natural integers in base $b \in N ∖ {0, 1}$ . We consider the following sequences: $s(n)=\overline{u(0)u…

math.NT2025

Sum of Consecutive Terms of Pell and Related Sequences

Navvye Anand, Amit Kumar Basistha, Kenny B. Davenport +4

We study new identities related to the sums of adjacent terms in the Pell sequence, defined by $P_{n} := 2 P_{n - 1} + P_{n - 2}$ for $n \geq 2$ and $P_{0} = 0, P_{1} = 1$ , and generalize the…