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A220632
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T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly two horizontal or antidiagonal neighbors
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10
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1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 3, 1, 1, 1, 8, 12, 5, 1, 1, 1, 16, 44, 37, 8, 1, 1, 1, 32, 158, 257, 114, 13, 1, 1, 1, 64, 564, 1665, 1481, 351, 21, 1, 1, 1, 128, 2010, 10695, 17527, 8560, 1081, 34, 1, 1, 1, 256, 7160, 68637, 201903, 183961, 49448, 3329, 55, 1, 1, 1, 512
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OFFSET
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1,8
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COMMENTS
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Table starts
.1.1...1......1.........1............1...............1..................1
.1.1...2......4.........8...........16..............32.................64
.1.1...3.....12........44..........158.............564...............2010
.1.1...5.....37.......257.........1665...........10695..............68637
.1.1...8....114......1481........17527..........201903............2329448
.1.1..13....351......8560.......183961.........3817452...........79063898
.1.1..21...1081.....49448......1932695........72097810.........2685329069
.1.1..34...3329....285669.....20301254......1362188752........91163971015
.1.1..55..10252...1650333....213251377.....25734606523......3095401422320
.1.1..89..31572...9534128...2240062837....486186026515....105098157017450
.1.1.144..97229..55079528..23530357757...9185167500820...3568417528948249
.1.1.233.299426.318199485.247170637157.173528846174065.121159087987547537
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4 0=self 3=ne 4=w 6=e 7=sw (reciprocal directions total 10)
.00.67.46.47...00.67.46.47...00.67.47.00...00.00.00.00...00.00.67.47
.36.46.34.00...36.47.36.47...36.34.00.00...00.00.00.00...00.37.36.47
.00.00.00.00...36.46.34.00...00.00.00.00...00.00.00.00...36.46.34.00
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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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