Base- analogues of classic combinatorial objects
arXiv:1607.02564
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.
14 pages, submitted to Integers: Electronic Journal of Combinatorial Number Theory