Zobrazeno 1 - 10 of 28 pro vyhledávání: '"Nurettin Irmak"'
2
On square Tribonacci Lucas numbers
Autor: Nurettin Irmak
Publikováno v: Volume: 50, Issue: 6 1652-1657
Hacettepe Journal of Mathematics and Statistics
The Tribonacci-Lucas sequence {Sn}{Sn} is defined by the recurrence relation Sn+3=Sn+2+Sn+1+SnSn+3=Sn+2+Sn+1+Sn with S0=3, S1=1, S2=3.S0=3, S1=1, S2=3. In this note, we show that 11 is the only perfect square in Tribonacci-Lucas sequence for n≢1(
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::103bc0100bc4fa053f3923658d595f4d
https://doi.org/10.15672/hujms.651786
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3
The order of appearance of the product of two Fibonacci and Lucas numbers
Autor: Prasanta Kumar Ray, Nurettin Irmak
Publikováno v: Acta Mathematica Hungarica. 162:527-538
Let $$F_{n}$$ and $$L_{n}$$ be the nth Fibonacci and Lucas number, respectively. The order of appearance is defined as the smallest natural number k such that n divides $$F_{k}$$ and denoted by z(n) . In this paper, we give explicit formulas for the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::322ca82f579236ffe45edbd9351f4579
https://doi.org/10.1007/s10474-020-01052-3
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6
Lucas numbers of the form (2t/k)
Autor: László Szalay, Nurettin Irmak
Publikováno v: Acta et Commentationes Universitatis Tartuensis de Mathematica. 23:65-70
Let Lm denote the mth Lucas number. We show that the solutions to the diophantine equation (2t/k) = Lm, in non-negative integers t, k ≤ 2t−1, and m, are (t, k, m) = (1, 1, 0), (2, 1, 3), and (a, 0, 1) with non-negative integers a.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e6711c0bb51858006630cf551837745f
https://doi.org/10.12697/acutm.2019.23.06
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7
Linear algebra of the Lucas matrix
Autor: Nurettin Irmak, Cahit Köme
Publikováno v: Volume: 50, Issue: 2 549-558
Hacettepe Journal of Mathematics and Statistics
In this paper, we give the factorization and inverse factorization of the Lucas matrix via (0,1,2)-matrix whose entries are either 0, 1 and 2. We also investigate the Cholesky factorization of the symmetric Lucas matrix. Moreover, by using some major
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::027531001e44a81629d8272996fb8106
https://dergipark.org.tr/tr/pub/hujms/issue/61276/746184
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10
More Identities for Fibonacci and Lucas Octonions
Autor: Abdullah Açikel, Nurettin Irmak
Publikováno v: Volume: 8, Issue: 2 48-53
Mathematical Sciences and Applications E-Notes
In this paper, we give a new approach to obtain identities for Fibonacci Lucas octonions. ................................................................................................................................................................
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b343c22b9b9ac3567791b569aad71587
https://dergipark.org.tr/tr/pub/mathenot/issue/57179/591307
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