Continuants, run lengths, and Barry's modified Pascal triangle
Combinatorics
2021-03-30 v1 Number Theory
Abstract
We show that the 'th diagonal sum of Barry's modified Pascal triangle can be described as the continuant of the run lengths of the binary representation of . We also obtain an explicit description for the row sums.
Keywords
Cite
@article{arxiv.1710.06203,
title = {Continuants, run lengths, and Barry's modified Pascal triangle},
author = {Jeffrey Shallit and Lukas Spiegelhofer},
journal= {arXiv preprint arXiv:1710.06203},
year = {2021}
}
Comments
5 pages