TY  - JOUR
TI  - On square Tribonacci Lucas numbers
AB  - The Tribonacci-Lucas sequence ${S_n}$ is defined by the recurrence relation $S_{n+3}=S_{n+2}+S_{n+1}+{S_n}{S_n}with {S_0} = 3, {S_1} = 1, {S_2} = 3.$ In this note, we show that 1 is the only perfect square in Tribonacci-Lucas sequence for n ̸≡ 1 (mod 32) and n ̸≡ 17 (mod 96).
AU  - IRMAK, Nurettin
DO  - 10.15672/hujms.651786
PY  - 2021
JO  - Hacettepe Journal of Mathematics and Statistics
VL  - 50
IS  - 6
SN  - 1303-5010
SP  - 1652
EP  - 1657
DB  - TRDizin
UR  - http://search/yayin/detay/495814
ER  -