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加乘幻方的公式构作
引用本文:马守选.加乘幻方的公式构作[J].河南师范大学学报(自然科学版),1996,24(2):9-13.
作者姓名:马守选
作者单位:濮阳县梨元乡一中
摘    要:本文证明由两个n维m阶等差数列可构作mn阶m泛对角线加乘幻方,解决了[2]中提出的27阶加乘幻方的存在性问题,并给出了(2m+1)2(m∈N)阶加乘幻方的构作通式.

关 键 词:加乘幻方  n维m阶等差数列  m~n阶m泛对角加乘幻方

A Construction of Addition-multiplication Magic Squares Using Formulas
Ma Shouxuan.A Construction of Addition-multiplication Magic Squares Using Formulas[J].Journal of Henan Normal University(Natural Science),1996,24(2):9-13.
Authors:Ma Shouxuan
Abstract:This paper demonstrats that we can always construct a m-pandiagonal addition-multiplication magic squares of order m ̄n by both n-dimensional arithmeticai series of order m, It solver the open question in2]-For order 27 do addition-multiplication magic squares extist? Further it gives the general construction methods of addition- multiplication magic squares of order (2m+1) 2 (m∈N).
Keywords:addition-multiplication magic squares  n-dimensional arithmetical series of order m  m-Pandiagonal addition-multiplication magic squares of order m ̄n
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