中文

Netted Binomial Matrices

组合数学 2007-05-23 v1 数论

摘要

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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引用

@article{arxiv.math/0011110,
  title  = {Netted Binomial Matrices},
  author = {Pantelimon Stanica},
  journal= {arXiv preprint arXiv:math/0011110},
  year   = {2007}
}

备注

19 pages