Generating b-nomial numbers

Authors

Ji Young Choi, Shippensburg University of PennsylvaniaFollow

DOI Link

https://doi.org/10.70013/t6bp2yl4

Abstract

This paper presents three new ways to generate each type of b-nomial numbers: We develop ordinary generating functions, we find a whole new set of recurrence relations, and we identify each b-nomial number as a single binomial coefficient or as an alternating sum of products of two binomial coefficients.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

Choi, Ji Young (2022) "Generating b-nomial numbers," Communications on Number Theory and Combinatorial Theory: Vol. 3, Article 1.
DOI: 10.70013/t6bp2yl4
Available at: https://research.library.kutztown.edu/contact/vol3/iss1/1