Affiliation:
1. Erzincan Binali Yıldırım Üniversitesi
2. ERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİ
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.
Publisher
Journal of Universal Mathematics
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Cited by
2 articles.
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