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A New Operation on Sequences: the Boustrouphedon Transform

组合数学 2015-06-02 v3 信息论 math.IT

摘要

A generalization of the Seidel-Entringer-Arnold method for calculating the alternating permutation numbers (or secant-tangent numbers) leads to a new operation on integer sequences, the Boustrophedon transform.

引用

@article{arxiv.math/0205218,
  title  = {A New Operation on Sequences: the Boustrouphedon Transform},
  author = {Jessica Millar and N. J. A. Sloane and Neal E. Young},
  journal= {arXiv preprint arXiv:math/0205218},
  year   = {2015}
}

备注

very minor change: corrected typo in author list. June 24 2002: correction to a proof; additional references