# Tribonacci modulo ${2}^{t}$ and ${11}^{t}$

Mathematica Bohemica (2008)

- Volume: 133, Issue: 4, page 377-387
- ISSN: 0862-7959

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topKlaška, Jiří. "Tribonacci modulo $2^t$ and $11^t$." Mathematica Bohemica 133.4 (2008): 377-387. <http://eudml.org/doc/250539>.

@article{Klaška2008,

abstract = {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 $p=2,11$.},

author = {Klaška, Jiří},

journal = {Mathematica Bohemica},

keywords = {Tribonacci; modular periodicity; periodic sequence; Tribonacci; modular periodicity; periodic sequence},

language = {eng},

number = {4},

pages = {377-387},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Tribonacci modulo $2^t$ and $11^t$},

url = {http://eudml.org/doc/250539},

volume = {133},

year = {2008},

}

TY - JOUR

AU - Klaška, Jiří

TI - Tribonacci modulo $2^t$ and $11^t$

JO - Mathematica Bohemica

PY - 2008

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 133

IS - 4

SP - 377

EP - 387

AB - 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 $p=2,11$.

LA - eng

KW - Tribonacci; modular periodicity; periodic sequence; Tribonacci; modular periodicity; periodic sequence

UR - http://eudml.org/doc/250539

ER -

## References

top- Klaška, J., Tribonacci modulo ${p}^{t}$, Math. Bohem. 133 (2008), 267-288. (2008) MR2494781
- Vince, A., Period of a linear recurrence, Acta Arith. 39 (1981), 303-311. (1981) Zbl0396.12001MR0640918
- Waddill, M. E., Some properties of a generalized Fibonacci sequence modulo $m$, The Fibonacci Quarterly 16 (Aug. 1978) 344-353. Zbl0394.10007MR0514322

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