On square Tribonacci Lucas numbers

Yıl 2021, Cilt: 50 Sayı: 6, 1652 - 1657, 14.12.2021

Nurettin Irmak

https://doi.org/10.15672/hujms.651786

Öz

The Tribonacci-Lucas sequence $\left\{S_n\right\}$ is defined by the recurrence relation $S_{n+3}=S_{n+2}+S_{n+1}+S_n$ with $S_0=3,S_1=1,S_2=3.$ In this note, we show that $1$ is the only perfect square in Tribonacci-Lucas sequence for $n\equiv ̸1\left(\mathrm{mod}32\right)$ and $n\equiv ̸17\left(\mathrm{mod}96\right).$

Anahtar Kelimeler

Tribonacci sequence, Tribonacci Lucas sequence, squares

Kaynakça

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