Tribonacci Numbers and the Brocard - Ramanujan Equation
نویسنده
چکیده
Let (Tn)n≥0 be the Tribonacci sequence defined by the recurrence Tn+2 = Tn+1 + Tn + Tn−1, with T0 = 0 and T1 = T2 = 1. In this short note, we prove that there are no integer solutions (u,m) to the Brocard-Ramanujan equation m! + 1 = u2 where u is a Tribonacci number.
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تاریخ انتشار 2016