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A220621
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T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly one horizontal, diagonal and antidiagonal neighbor
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12
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1, 2, 1, 3, 7, 1, 5, 21, 22, 1, 8, 87, 125, 71, 1, 13, 317, 1189, 765, 228, 1, 21, 1215, 9176, 17084, 4657, 733, 1, 34, 4565, 76955, 282777, 243119, 28373, 2356, 1, 55, 17287, 624227, 5280827, 8608738, 3466455, 172833, 7573, 1, 89, 65261, 5131406, 93905509
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OFFSET
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1,2
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COMMENTS
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Table starts
.1......2..........3..............5..................8.....................13
.1......7.........21.............87................317...................1215
.1.....22........125...........1189...............9176..................76955
.1.....71........765..........17084.............282777................5280827
.1....228.......4657.........243119............8608738..............356768525
.1....733......28373........3466455..........262680517............24177895648
.1...2356.....172833.......49406943.........8011414792..........1637496710797
.1...7573....1052829......704243629.......244357686173........110916199227139
.1..24342....6413369....10038098456......7453056468816.......7512747980759983
.1..78243...39067429...143080761421....227323314349577.....508867505795261823
.1.251498..237981569..2039439299333...6933510501158596...34467532553765146717
.1.808395.1449678893.29069688249415.211476640729594693.2334617570886588879553
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4 0=self 1=nw 3=ne 4=w 6=e 7=sw 9=se (reciprocal directions total 10)
..6..4..6..4....9..9..6..4....6..4..9..7....6..4..6..4....6..4..6..4
..0..7..6..4....0..1..1..0....0..0..3..1....0..0..7..0....0..6..4..0
..3..6..4..0....6..4..0..0....0..6..4..0....0..3..6..4....6..4..6..4
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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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