Atıf İçin Kopyala
Özkan E., Yilmaz N. Ş., Włoch A.
Boletin de la Sociedad Matematica Mexicana, cilt.27, sa.3, 2021 (ESCI)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
27
Sayı:
3
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Basım Tarihi:
2021
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Doi Numarası:
10.1007/s40590-021-00381-9
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Dergi Adı:
Boletin de la Sociedad Matematica Mexicana
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Derginin Tarandığı İndeksler:
Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
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Anahtar Kelimeler:
Generalized Fibonacci numbers, Narayana's numbers, Padovan's numbers, Generating function, Pascal's triangle
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Marmara Üniversitesi Adresli:
Hayır
Özet
© 2021, The Author(s).In this paper, we study a generalization of Narayana’s numbers and Padovan’s numbers. This generalization also includes a sequence whose elements are Fibonacci numbers repeated three times. We give combinatorial interpretations and a graph interpretation of these numbers. In addition, we examine matrix generators and determine connections with Pascal’s triangle.