Netted Binomial Matrices
Combinatorics
2007-05-23 v1 Number Theory
Abstract
In this paper we prove that a matrix property of nettedness (all 2x2 cells satisfy a recurrence) is preserved for powers of such a matrix, where the coefficients are all instances of the same sequence. Also, we find an n-dimensional analog of the Q-matrix for the general Pell(Fibonacci) sequence. We close by giving a conjecture about the spectral properties of the binomial matrix we found.
Keywords
Cite
@article{arxiv.math/0011110,
title = {Netted Binomial Matrices},
author = {Pantelimon Stanica},
journal= {arXiv preprint arXiv:math/0011110},
year = {2007}
}
Comments
19 pages