The trinomial transform triangle
Number Theory
2021-04-01 v1 Combinatorics
Abstract
The trinomial transform of a sequence is a generalization of the well-known binomial transform, replacing binomial coefficients with trinomial coefficients. We examine Pascal-like triangles under trinomial transform, focusing on the ternary linear recurrent sequences. We determine the sums and alternating sums of the elements in columns, and we give some examples of the trinomial transform triangle.
Cite
@article{arxiv.1807.07109,
title = {The trinomial transform triangle},
author = {László Németh},
journal= {arXiv preprint arXiv:1807.07109},
year = {2021}
}
Comments
17 pages, 4 figures, 4 tables