Browsing by Author "Irmak N."
Now showing items 1-4 of 4
-
On perfect numbers close to Tribonacci numbers
In [1], Faco and Marques gave the conditions that even perfect numbers belonging to k-generalized Fibonacci numbers. In this paper, we present alternative proof for being even perfect numbers in Tribonacci sequence. Our ... -
The rank of apparition of powers of Lucas sequence
Ray P.K.; Irmak N.; Patel B.K. (TUBITAK, 2018)This note is devoted to studying the divisibility relation uk+1 n |um for a least positive integer m, where (Un)n?0 is a nondegenerate Lucas sequence with characteristic polynomial x2 - ax - b, for some relatively prime ... -
Tribonacci numbers close to the sum 2a + 3b + 5C
We show that there are exactly 22 solutions to the inequalities 0 ? Tn - 2a - 3b - 5C ? 10. where Tn denotes thenth term (n ? 0) of the Tribonacci sequence, andO ? a,b ? c are integers. All the solutions are explicitly determined. -
Two-periodic ternary recurrences and their Binet-formula
The properties of k-periodic binary recurrences have been discussed by several authors. In this paper, we define the notion of the two-periodic ternary linear recurrence. First we follow Cooper's approach to obtain the ...
