On the binomial interpolated triangles
Combinatorics
2021-04-01 v1 Number Theory
Abstract
The binomial interpolated transform of a sequence is a generalization of the well-known binomial transform. We examine a Pascal-like triangle, on which a binomial interpolated transform works between the left and right diagonals, focusing on binary recurrences. We give the sums of the elements in rows and in rising diagonals, further we define two special classes of these arithmetical triangles.
Cite
@article{arxiv.1708.06527,
title = {On the binomial interpolated triangles},
author = {László Németh},
journal= {arXiv preprint arXiv:1708.06527},
year = {2021}
}
Comments
16 pages, 8 figures