On square Tribonacci Lucas numbers

Authors : Nurettin IRMAK

Pages : 1652-1657

Doi:10.15672/hujms.651786

View : 15 | Download : 7

Publication Date : 2021-12-14

Article Type : Research Paper

Abstract :The Tribonacci-Lucas sequence { S n } {Sn} is defined by the recurrence relation S n + 3 = S n + 2 + S n + 1 + S n Sn+3=Sn+2+Sn+1+Sn with S 0 = 3 ,   S 1 = 1 ,   S 2 = 3. S0=3, S1=1, S2=3.  In this note, we show that 1 1 is the only perfect square in Tribonacci-Lucas sequence for n ≢ 1 insert ignore into journalissuearticles values( mod 32 ); n≢1insert ignore into journalissuearticles values(mod32); and n ≢ 17 insert ignore into journalissuearticles values( mod 96 ); . n≢17insert ignore into journalissuearticles values(mod96);.
Keywords : Tribonacci sequence, Tribonacci Lucas sequence, squares