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A274229
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Number of square n X n matrices containing the values 1 to n^2 that do not contain a row or column that appears in the matrix listing the n^2 values in order (left to right, top to bottom).
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1
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0, 13, 350314, 20907473410813, 15511088399276664432001386, 371993307691696427796897697438711091311473, 608281863896576961368925279207011528484342192328937893038299066, 126886932185793156284194444673402758686090686637743899818927901378528905462568315856855357
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OFFSET
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1,2
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LINKS
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MAPLE
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proc(n) (n^2)! + 2*add(binomial(n, k)^2*(-1)^k*k!*(n^2-k*n)!, k=1..n) + add(add((-1)^(k+j)*binomial(n, k)*binomial(n, j)*(n^2-n*(k+j)+k*j)!, j=1..n), k=1..n); end;
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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