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Spectral Properties of a Binomial Matrix

Combinatorics 2007-05-23 v1

Abstract

In this paper we study some further properties of the matrix with entries binom{i-1}{n-j}. We find the generating function for each row and column, and we find the eigenvalues and eigenvectors of this matrix. We also find the spectral properties of this matrix modulo 3 and 5.

Cite

@article{arxiv.math/0011111,
  title  = {Spectral Properties of a Binomial Matrix},
  author = {Pantelimon Stanica and Rhodes Peele},
  journal= {arXiv preprint arXiv:math/0011111},
  year   = {2007}
}

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11 pages