stdClass Object
(
    [id] => 17207
    [paper_index] => 202507-01-023506
    [title] => ON THE STUDY OF BIFURCATING RIGHT FIBONOMIAL NUMBERS AND RB-TRINOMIAL NUMBERS
    [description] => 
    [author] => Riya Desai, Devbhadra Shah
    [googlescholar] => 
    [doi] => https://doi.org/10.36713/epra23506
    [year] => 2025
    [month] => July
    [volume] => 11
    [issue] => 7
    [file] => fm/jpanel/upload/2025/July/202507-01-023506.pdf
    [abstract] =>  Fontene ́ once introduced a generalized form of binomial coefficients by substituting natural numbers with terms from an arbitrary sequence {A_n} of real or complex numbers, which he referred to as Fibonomial coefficients. Since then, significant interest has developed around Fibonomial numbers which is two dimensional in which n is divided into two parts, particularly when the sequence {A_n} is chosen as {F_n}, the well-known Fibonacci sequence. More recently, researchers have explored a further extension by considering {A_n }={F_n^R}, the sequence of right Fibonacci numbers. In this paper, we take this generalization a step further by defining Fibonomial coefficients based on the sequence {A_n }={F_n^(R(a,b))}, known as the right Bifurcating Fibonacci numbers. Also, there were a new generalization was established for three-dimensional Fibonomial numbers which is the extension of n divided into three parts, known as F-trinomial numbers. In this paper, we choose right bifurcating Fibonacci sequence and introduced RB-trinomial numbers. Then, we derive several identities associated with both of them. Additionally, we examine some of their bounds for both numbers. 
    [keywords] => Binomial Coefficients, Fibonacci Numbers, Bifurcating Fibonacci numbers, Fibonomial Coefficients, Trinomial Coefficients, Characteristic equation
    [doj] => 2025-07-31
    [hit] => 
    [status] => 
    [award_status] => P
    [orderr] => 155
    [journal_id] => 1
    [googlesearch_link] => 
    [edit_on] => 
    [is_status] => 1
    [journalname] => EPRA International Journal of Multidisciplinary Research (IJMR)
    [short_code] => IJMR
    [eissn] =>  2455-3662 (Online)
    [pissn] => - --
    [home_page_wrapper] => images/products_image/11.IJMR.png
)
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