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A construction of addition-multiplication magic square of order 18 - MaRDI portal

A construction of addition-multiplication magic square of order 18 (Q1918211)

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scientific article; zbMATH DE number 906671
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English
A construction of addition-multiplication magic square of order 18
scientific article; zbMATH DE number 906671

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    A construction of addition-multiplication magic square of order 18 (English)
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    1996
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    An addition-multiplication magic square of order \(n\) is an \(n\times n\) matrix whose entries are \(n^2\) distinct positive integers such that not only the sum but also the product of the entries on each row, column, main diagonal and back diagonal is constant. Four conjugate addition-multiplication magic squares of order 9 are constructed. This implies that there exists an addition-multiplication magic square of order 18.
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    addition-multiplication magic square
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