Ramírez, José L., Sirvent, Victor F. (2015) A note on the k-Narayana sequence Annales Mathematicae et Informaticae. 45. pp. 91-105. ISSN 1787-5021 (Print), 1787-6117 (Online)
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Absztrakt (kivonat)
In the present article, we define the k-Narayana sequence of integer num- bers. We study recurrence relations and some combinatorial properties of these numbers, and of the sum of their first n terms. These properties are derived from matrix methods. We also study some relations between the k-Narayana sequence and convolved k-Narayana sequence, and permanents and determinants of one type of Hessenberg matrix. Finally, we show how these sequences arise from a family of substitutions.
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Kulcsszavak: | The k-Narayana Sequence, Recurrences, Generating Function, Combinatorial Identities | ||||||||||||
Nyelv: | angol | ||||||||||||
Kötetszám: | 45. | ||||||||||||
ISSN: | 1787-5021 (Print), 1787-6117 (Online) | ||||||||||||
Felhasználó: | Tibor Gál | ||||||||||||
Dátum: | 11 Már 2019 16:28 | ||||||||||||
Utolsó módosítás: | 11 Már 2019 16:28 | ||||||||||||
URI: | http://publikacio.uni-eszterhazy.hu/id/eprint/3277 |
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