English

A New Operation on Sequences: the Boustrouphedon Transform

Combinatorics 2015-06-02 v3 Information Theory math.IT

Abstract

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.

Cite

@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}
}

Comments

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