Netted Binomial Matrices

Details Netted Binomial Matrices Netted Binomial Matrices

2000-11-16

arxiv.org/abs/math/0011110v1

Mathematics

Combinatorics

19 pages

Scientific paper

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.

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