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A220561
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Number of ways to reciprocally link elements of an nX7 array either to themselves or to exactly one horizontal or antidiagonal neighbor
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1
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21, 1544, 101052, 6743873, 449429440, 29955561052, 1996515036228, 133064181801048, 8868465829053416, 591065515195237024, 39393331961841054032, 2625486595153945514656, 174983417444316851450400
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 85*a(n-1) -1330*a(n-2) +7350*a(n-3) -15316*a(n-4) +12720*a(n-5) -3168*a(n-6) for n>9
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EXAMPLE
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Some solutions for n=3 0=self 3=ne 4=w 6=e 7=sw (reciprocal directions total 10)
..0..0..0..0..0..7..0....0..0..0..0..7..6..4....0..0..0..0..0..6..4
..0..6..4..0..3..6..4....6..4..7..3..0..0..0....6..4..6..4..6..4..0
..6..4..6..4..0..0..0....0..3..0..6..4..0..0....6..4..0..0..6..4..0
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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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