Bibliographic Details
| Title: |
AN APPROACH TO PILLAI'S PROBLEM: COINCIDENCES BETWEEN THE NARAYANA'S COWS AND TRIBONACCI SEQUENCES. |
| Authors: |
Diouf, Sémou1 zemathos@hotmail.fr, Fall, Oumar1 oumar3.fall@ucad.edu.sn, Deme, Chérif Bachir2 cherifbachir.deme@uadb.edu.sn |
| Source: |
Advances & Applications in Discrete Mathematics. Feb2026, Vol. 43 Issue 2, p183-196. 14p. |
| Subjects: |
Recursive sequences (Mathematics), Mathematical sequences, Diophantine equations, Fibonacci sequence |
| Abstract: |
The Narayana's cows sequence (Nm)m≥0 and the Tribonacci sequence (Tn)n≥0are respectively the sequences A000930 and A00073 in the OIES system satisfying respectively the recurrence relations: Nm+3 = Nm+2 + Nm for integers m ≥ 0 (1) with initial terms N0 = N1 = N2 = 1 and Tn+3 = Tn+2 + Tn+1 + Tn for integers n ≥ 0 (2) with initial terms T0 = T1 = 0 and T2 = 1. In this paper, our aim is to solve the equation Nm = Tn, where m and n are positive integers [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
