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A197180
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T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,2,1,0,0 for x=0,1,2,3,4
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8
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1, 1, 1, 2, 5, 2, 3, 10, 10, 3, 4, 23, 41, 23, 4, 6, 58, 150, 150, 58, 6, 9, 144, 665, 969, 665, 144, 9, 13, 363, 2695, 7172, 7172, 2695, 363, 13, 19, 917, 11424, 50864, 92206, 50864, 11424, 917, 19, 28, 2321, 47528, 367813, 1096217, 1096217, 367813, 47528, 2321, 28
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OFFSET
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1,4
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COMMENTS
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Every 0 is next to 0 2's, every 1 is next to 1 2's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 0's
Table starts
..1....1......2.........3...........4.............6...............9
..1....5.....10........23..........58...........144.............363
..2...10.....41.......150.........665..........2695...........11424
..3...23....150.......969........7172.........50864..........367813
..4...58....665......7172.......92206.......1096217........13530178
..6..144...2695.....50864.....1096217......22335117.......467923636
..9..363..11424....367813....13530178.....467923636.....16686610707
.13..917..47528...2646379...164914460....9715240362....589208849137
.19.2321.199485..19073997..2020163498..202416969329..20885016359231
.28.5878.834267.137434440.24703508188.4212994659413.739404634476424
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LINKS
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EXAMPLE
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Some solutions containing all values 0 to 4 for n=6 k=4
..0..0..0..0....0..1..2..1....2..1..0..0....0..0..0..0....1..0..0..0
..0..4..0..3....0..1..2..1....1..0..4..0....0..0..0..0....2..3..0..0
..3..0..3..0....3..0..3..0....0..3..0..0....3..0..0..3....1..0..4..0
..0..1..2..1....0..4..0..0....1..1..0..3....0..0..4..0....0..0..0..0
..3..0..3..0....0..0..4..0....2..2..3..0....1..0..0..1....0..3..0..3
..0..3..0..0....0..3..0..0....1..1..0..0....2..1..1..2....1..2..1..0
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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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