# Article

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Keywords:
Tribonacci; modular periodicity; periodic sequence
Summary:
Our previous research was devoted to the problem of determining the primitive periods of the sequences $(G_n\mod p^t)_{n=1}^{\infty }$ where $(G_n)_{n=1}^{\infty }$ is a Tribonacci sequence defined by an arbitrary triple of integers. The solution to this problem was found for the case of powers of an arbitrary prime $p\ne 2,11$. In this paper, which could be seen as a completion of our preceding investigation, we find solution for the case of singular primes $p=2,11$.
References:
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[2] Vince, A.: Period of a linear recurrence. Acta Arith. 39 (1981), 303-311. MR 0640918 | Zbl 0396.12001
[3] Waddill, M. E.: Some properties of a generalized Fibonacci sequence modulo $m$. The Fibonacci Quarterly 16 (Aug. 1978) 344-353. MR 0514322 | Zbl 0394.10007

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