Base-$b$ analogues of classic combinatorial objects
Number Theory
2016-11-18 v2 Combinatorics
Abstract
We study the properties of the base- binomial coefficient defined by Jiu and the second author, introduced in the context of a digital binomial theorem. After introducing a general summation formula, we derive base- analogues of the Stirling numbers of the second kind, the Fibonacci numbers and the classical exponential function.
Keywords
Cite
@article{arxiv.1607.02564,
title = {Base-$b$ analogues of classic combinatorial objects},
author = {Tanay Wakhare and Christophe Vignat},
journal= {arXiv preprint arXiv:1607.02564},
year = {2016}
}
Comments
14 pages, submitted to Integers: Electronic Journal of Combinatorial Number Theory