Affiliation:
1. Departamento de Matemáticas , Universidad del Cauca , Calle 5 No. 4–70 , Popayán , Colombia
Abstract
Abstract
The Tribonacci sequence is a generalization of the Fibonacci sequence which starts with 0,0,1 and each term afterwards is the sum of the three preceding terms. Here, we show that the only Tribonacci numbers that are concatenations of two repdigits are 13,24,44,81. This paper continues a previous work that searched for Fibonacci numbers which are concatenations of two repdigits.
Reference15 articles.
1. Alahmadi, A.—Altassan, A.—Luca, F.—Shoaib, H.: Fibonacci numbers which are concatenations of two repdigits, Quaest. Math. 44(2) (2021), 281–290.
2. Baker, A.—Davenport, H.: The equations 3x2 − 2 = y2and 8x2 − 7 = z2, Q. J. Math. 20 (1969), 129–137.
3. Banks, W. D.—Luca, F.: Concatenations with binary recurrent sequences, J. Integer Seq. 8 (2005), Art. 05.1.3.
4. Bravo, J. J.—Gómez, C. A.—Luca, F.: Powers of two as sums of twok–Fibonacci numbers, Miskolc Math. Notes 17 (2016), 85–100.
5. Bravo, J. J.—Luca, F.: On a conjecture about repdigits in k–generalized Fibonacci sequences, Publ. Math. Debrecen 82 (2013), 623–639.
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献