Mark Sias

collaborators

2 papers

math.NT2020

On members of Lucas sequences which are products of Catalan numbers

Shanta Laishram, Florian Luca, Mark Sias

We show that if ${U_{n}}_{n \geq 0}$ is a Lucas sequence, then the largest $n$ such that $∣ U_{n} ∣ = C_{m_{1}} C_{m_{2}} \dots C_{m_{k}}$ with $1 \leq m_{1} \leq m_{2} \leq \dots \leq m_{k}$ , where $C_m…

math.NT2019

On members of Lucas sequences which are products of factorials

Shanta Laishram, Florian Luca, Mark Sias

Here, we show that if ${U_{n}}_{n \geq 0}$ is a Lucas sequence, then the largest $n$ such that $∣ U_{n} ∣ = m_{1}! m_{2}! \dots m_{k}!$ with $1 < m_{1} \leq m_{2} \leq \dots \leq m_{k}$ satisfies $n<3\times 1…