Title
Bisecting binomial coefficients
Document Type
Article
Publication Date
8-20-2017
Publication Title
Discrete Applied Mathematics
Volume
227
First Page
70
Last Page
83
Keywords
Binomial coefficients, Diophantine equations, Subset sum problem
Abstract
© 2017 In this paper, we deal with the problem of bisecting binomial coefficients. We find many (previously unknown) infinite classes of integers which admit nontrivial bisections, and a class with only trivial bisections. As a byproduct of this last construction, we show conjectures Q2 and Q4 of Cusick and Li (2005). We next find several bounds for the number of nontrivial bisections and further compute (using a supercomputer) the exact number of such bisections for n≤51.
Recommended Citation
Ionaşcu, Eugen J.; Martinsen, Thor; and Stănică, Pantelimon, "Bisecting binomial coefficients" (2017). Faculty Bibliography. 2922.
https://csuepress.columbusstate.edu/bibliography_faculty/2922
