2000/11/16 by Pantelimon Stanica, Stanica, Pantelimon
Mathematics · #05A10 #11B39 #11B65 #11C20 #15A33 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT #msc:05A10 #msc:11B39 #msc:11B65 #msc:11C20 #msc:15A33
paper · pdf · doi:10.48550/arxiv.math/0011110
19 pages
arxiv created 2000/11/16 · arxiv updated 2009/11/30
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.