The number of "magic" squares and hypercubes
组合数学
2007-05-23 v3 数论
摘要
We define a magic square to be a square matrix whose entries are nonnegative integers and whose rows, columns, and main diagonals sum up to the same number. We prove structural results for the number of such squares as a function of the size of the matrix and the line sum. We give examples for small sizes and show similar results for symmetric, pandiagonal magic squares, and magic hypercubes.
引用
@article{arxiv.math/0201013,
title = {The number of "magic" squares and hypercubes},
author = {Matthias Beck and Moshe Cohen and Jessica Cuomo and Paul Gribelyuk},
journal= {arXiv preprint arXiv:math/0201013},
year = {2007}
}
备注
11 pages, 2 figures