Roman Fibonomial Numbers

Select Volume / Issue:

• Volume 6,Issue 5, Sept. 2018

Year:

2018

Type of Publication:

Article

Keywords:

Binomial Coefficient, Roman Binomial Coefficient, Fibonacci Numbers, Fibonomial Coefficient

Authors:

Mansi S. Shah; Devbhadra V. Shah

Journal:

IJISM

Volume:

6

Number:

5

Pages:

160-163

Month:

September

ISSN:

2347-9051

Abstract:

In the beginning of 20th century, the generalization of binomial coefficient had been proposed by substituting arbitrary sequence in place of natural numbers. Using this, the Fibonomial coefficient had been introduced. In the late 90’s binomial coefficients have been generalised in the negative direction, called Roman binomial coefficient. In this paper, we introduce Roman Fibonomial numbers, which have been divided into six regions. Many interesting properties of these numbers have also been proved using the results related to Fibonacci numbers

Full text: IJISM_778_FINAL.pdf [Bibtex]