On Tribonacci numbers written as a product of three Fibonacci numbers

Key Points

• The paper investigates the specific Diophantine equation involving Tribonacci and Fibonacci numbers to find solutions.
• Examined the equation T_n = F_k · F_l · F_m using theoretical approaches.
• Applied Baker’s method to find solutions in integer representations.
• Considered previous work by Luca et al. as a basis for this investigation.
• Identified a unique solution: (n, k, l, m) = (12, 4, 6, 8).
• Established that only one non-trivial solution exists apart from the trivial case.