The qQueens Problem: OneMove Riders on the Rectangular Board
Abstract
We generalize the recent results of Chaiken et al. to a rectangular $m\times n$ chessboard. An explicit formula for the number of nonattacking configurations of onemove riders on such a chessboard is calculated in two different ways, one utilizing the theory of symmetric functions and the other the theory of generating functions. With these newly found results, several conjectures and open problems are resolved, and various formulas found by Kotesovec are generalized.
 Publication:

arXiv eprints
 Pub Date:
 January 2015
 DOI:
 10.48550/arXiv.1501.06642
 arXiv:
 arXiv:1501.06642
 Bibcode:
 2015arXiv150106642I
 Keywords:

 Mathematics  Combinatorics
 EPrint:
 7 pages