- Turkish Journal of Mathematics
- Vol: 44 Issue: 1
- The 2-adic and 3-adic valuation of the Tripell sequence and an application
The 2-adic and 3-adic valuation of the Tripell sequence and an application
Authors : Jhon Jairo Bravo, Maribel Díaz, José Luis Ramírez
Pages : 131-141
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let (Tn)n≥0 denote the Tripell sequence, defined by the linear recurrence Tn=2Tn−1+Tn−2+Tn−3 for n≥3 with T0=0, T1=1 and T2=2 as initial conditions. In this paper, we study the 2-adic and 3-adic valuation of the Tripell sequence and, as an application, we determine all Tripell numbers which are factorials.Keywords : Tripell sequence, p-adic valuation, factorials