Information technologies and computer sciences

The density of filling of natural numbers series by the members of linear recurrent sequences of the second order

Authors

V. A. Luzhetskyi
Vinnytsia National Technical University ROR
V. M. Mykhalevych
Vinnytsia National Technical University ROR
O. V. Mykhalevych
Vinnytsia National Technical University ROR
V. A. Kaplun
Vinnytsia National Technical University ROR

Keywords

linear recurrent sequence series of natural numbers compression and coding of information

Abstract

The property regarding the number of m-valued numbers of arbitrary linear recurrent sequences, for which each member starting with the third is the sum of the previous two is formulated and proved. Similar properties are of interest from point of view of possible compression and encryption information. The relation for calculation of serial numbers and number of m-valued numbers in sequence is obtained. Allocation table of possible number of m-valued numbers of the given sequence is established.
550 83

How to Cite

[1]
“The density of filling of natural numbers series by the members of linear recurrent sequences of the second order”, Вісник ВПІ, no. 4, pp. 41–45, Nov. 2010, Accessed: Oct. 15, 2026. Available: https://visnyk.vntu.edu.ua/index.php/visnyk/article/view/1660

Author Biographies

V. A. Luzhetskyi, Vinnytsia National Technical University

завідувач кафедри захисту інформації

V. M. Mykhalevych, Vinnytsia National Technical University
завідувач кафедри вищої математики
O. V. Mykhalevych, Vinnytsia National Technical University
студент
V. A. Kaplun, Vinnytsia National Technical University
старший викладач кафедри захисту інформації

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