# Article

 Title: Tribonacci modulo $2^t$ and $11^t$ (English) Author: Klaška, Jiří Language: English Journal: Mathematica Bohemica ISSN: 0862-7959 (print) ISSN: 2464-7136 (online) Volume: 133 Issue: 4 Year: 2008 Pages: 377-387 Summary lang: English . Category: math . 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 $p=2,11$. (English) Keyword: Tribonacci Keyword: modular periodicity Keyword: periodic sequence MSC: 11B39 MSC: 11B50 idZBL: Zbl 1174.11022 idMR: MR2472486 DOI: 10.21136/MB.2008.140627 . Date available: 2010-07-20T17:38:20Z Last updated: 2020-07-29 Stable URL: http://hdl.handle.net/10338.dmlcz/140627 . Reference: [1] Klaška, J.: Tribonacci modulo $p^t$.Math. Bohem. 133 (2008), 267-288. MR 2494781 Reference: [2] Vince, A.: Period of a linear recurrence.Acta Arith. 39 (1981), 303-311. Zbl 0396.12001, MR 0640918, 10.4064/aa-39-4-303-311 Reference: [3] Waddill, M. E.: Some properties of a generalized Fibonacci sequence modulo $m$.The Fibonacci Quarterly 16 (Aug. 1978) 344-353. Zbl 0394.10007, MR 0514322 .

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