Geodesic
The 2-adic order of the tribonacci numbers and the equation $T_n = m!$
Journal of integer sequences, Tome 17 (2014) no. 10.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $(T_{n})_{n \ge 0}$ be the Tribonacci sequence defined by the recurrence $T_{n+2} = T_{n+1} + T_{n} + T_{n-1}$, with $T_{0} = 0$ and $T_{1} = T_{2} = 1$. In this paper, we characterize the 2-adic valuation of $T_{n}$ and, as an application, we completely solve the Diophantine equation $T_{n} = m$!.
Classification : 11B39, 11B50, 11A07
Keywords: tribonacci number, divisibility, 2-adic valuation 
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     author = {Marques, Diego and Lengyel, Tam\'as},
     title = {The 2-adic order of the tribonacci numbers and the equation $T_n = m!$},
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Marques, Diego; Lengyel, Tamás. The 2-adic order of the tribonacci numbers and the equation $T_n = m!$. Journal of integer sequences, Tome 17 (2014) no. 10. http://geodesic.mathdoc.fr/item/JIS_2014__17_10_a0/