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Dergiler / Journal of Universal Mathematics / 2022 / Cilt: 5 Sayı: 2

A TILING APPROACH TO FIBONACCI p-NUMBERS

Yasemin Taşyurdu(Erzincan Binali Yıldırım Üniversitesi)0000-0002-9011-8269
Berke Cengiz(ERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİ)0000-0001-8372-3332
Sayfa
177–184
Yayın Tarihi
2022-07-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, the product identities and sum formulas of these numbers with special subscripts are given by tiling interpretations that allow the derivation of their properties.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we introduce tiling representations of Fibonacci p-numbers, which are generalizations of the well-known Fibonacci and Narayana numbers, and generalized in the distance sense.
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Temel Bulgular & Veri:We obtain Fibonacci p-numbers count the number of distinct ways to tile a 1 × n board using various 1 × r, r-ominoes from r = 1 up to r = p + 1.
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Sonuç & Katkı:Moreover, the product identities and sum formulas of these numbers with special subscripts are given by tiling interpretations that allow the derivation of their properties.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fibonacci p-Numbers · Generalized Fibonacci Numbers · Sum Formulas

Abstract

In this paper, we introduce tiling representations of Fibonacci p-numbers, which are generalizations of the well-known Fibonacci and Narayana numbers, and generalized in the distance sense. We obtain Fibonacci p-numbers count the number of distinct ways to tile a 1 × n board using various 1 × r, r-ominoes from r = 1 up to r = p + 1. Moreover, the product identities and sum formulas of these numbers with special subscripts are given by tiling interpretations that allow the derivation of their properties.

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Bu Makaleye Atıf Yap

Taşyurdu, Y., Cengiz, B. (2022). A TILING APPROACH TO FIBONACCI p-NUMBERS. Journal of Universal Mathematics, Cilt: 5 Sayı: 2, 177–184. https://doi.org/10.33773/jum.1142766

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