Integer Binomial Plan: a Generalization on Factorials and Binomial Coefficients

Luís Dias Ferreira

Abstract


The concept of factorial n of order k is presented in the sets of real numbers n and integer k. Some applications of this concept are examined, featuring the consistency of its proposal, and a pair of theorems demonstrated. In generalising binomial coefficients to all integers, the Pascal's Triangle is expanded to an Integer Binomial Plan, which displays remarkable properties.


Full Text: PDF DOI: 10.5539/jmr.v2n3p18

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This work is licensed under a Creative Commons Attribution 3.0 License.

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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