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A367530
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The number of ways of tiling the n X n torus up to matrix transposition by a tile that is asymmetric with respect to matrix transposition.
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2
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1, 4, 32, 2081, 671104, 954448620, 5744387279872, 144115188176529540, 14925010118699132241920, 6338253001141163895983922592, 10985355337065420437221545952731136, 77433143050453552574825990883161180320096, 2213872302702432822841084717014014514981767643136
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OFFSET
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1,2
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COMMENTS
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The n X n torus is an n X n grid where two grids are considered the same if one can reach the other by cyclic shifting of rows and columns.
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LINKS
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MATHEMATICA
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A367530[n_] := 1/(2n^2) (DivisorSum[n, Function[d, DivisorSum[n, Function[c, EulerPhi[c] EulerPhi[d] 2^(n^2/LCM[c, d])]]]] + n*DivisorSum[n, Function[d, EulerPhi[d]*Which[OddQ[d], 0, EvenQ[d], 2^(n^2/(2 d))]]])
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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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