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A368264
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Table read by antidiagonals downward: T(n,k) is the number of tilings of the n X k cylinder by two distinct tiles.
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1
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2, 4, 3, 8, 10, 4, 16, 36, 24, 6, 32, 136, 176, 70, 8, 64, 528, 1376, 1044, 208, 14, 128, 2080, 10944, 16456, 6560, 700, 20, 256, 8256, 87424, 262416, 209728, 43800, 2344, 36, 512, 32896, 699136, 4195360, 6710912, 2796976, 299600, 8230, 60
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OFFSET
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1,1
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LINKS
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EXAMPLE
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Table begins:
n\k| 1 2 3 4 5 6
---+-------------------------------------------
1 | 2 4 8 16 32 64
2 | 3 10 36 136 528 2080
3 | 4 24 176 1376 10944 87424
4 | 6 70 1044 16456 262416 4195360
5 | 8 208 6560 209728 6710912 214748416
6 | 14 700 43800 2796976 178962784 11453291200
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MATHEMATICA
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A368264[n_, m_] := 1/n (DivisorSum[n, EulerPhi[#]*2^(n*m/#) &])
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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