Multimagic Squares

Details Multimagic Squares Multimagic Squares

2005-04-05

arxiv.org/abs/math/0504083v2

Mathematics

Combinatorics

17 pages, correct MSC-classes

Scientific paper

In this paper we give the first method for constructing n-multimagic squares
(and hypercubes) for any n. We give an explicit formula in the case of squares
and an effective existence proof in the higher dimensional case. Finally we
prove that n-multimagic squares do not exist for certain orders.

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