Irmak, Nurettin, Szalay, László (2012) On k-periodic binary recurrences Annales Mathematicae et Informaticae. 40 pp. 25-35. ISSN 1787-6117
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Absztrakt (kivonat)
We apply a new approach, namely the fundamental theorem of homo- geneous linear recursive sequences, to k-periodic binary recurrences which allows us to determine Binet’s formula of the sequence if k is given. The method is illustrated in the cases k = 2 and k = 3 for arbitrary parameters. Thus we generalize and complete the results of Edson-Yayenie, and Yayenie linked to k = 2 hence they gave restrictions either on the coefficients or on the initial values. At the end of the paper we solve completely the constant sequence problem of 2-periodic sequences posed by Yayenie. Keywords: linear recurrences, k-periodic binary recurrences
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Nyelv: | angol | ||||||||||||
Kötetszám: | 40 | ||||||||||||
ISSN: | 1787-6117 | ||||||||||||
Felhasználó: | Tibor Gál | ||||||||||||
Dátum: | 19 Feb 2019 18:29 | ||||||||||||
Utolsó módosítás: | 19 Feb 2019 18:29 | ||||||||||||
URI: | http://publikacio.uni-eszterhazy.hu/id/eprint/2670 |
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