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A221755
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T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without move-in move-out straight through or left turns
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12
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0, 1, 0, 0, 2, 0, 1, 1, 4, 0, 0, 9, 0, 8, 0, 1, 17, 43, 1, 16, 0, 0, 64, 44, 241, 0, 32, 0, 1, 171, 736, 748, 1397, 1, 64, 0, 0, 536, 1680, 16715, 4848, 7989, 0, 128, 0, 1, 1558, 14548, 117067, 311288, 47575, 45956, 1, 256, 0, 0, 4689, 47314, 1557684, 3143356, 6168942
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OFFSET
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1,5
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COMMENTS
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Table starts
.0....1.0.......1........0..........1..........0..........1............0
.0....2.1.......9.......17.........64........171........536.........1558
.0....4.0......43.......44........736.......1680......14548........47314
.0....8.1.....241......748......16715.....117067....1557684.....14265803
.0...16.0....1397.....4848.....311288....3143356...95371405...1408726936
.0...32.1....7989....47575....6168942..128008894.7397024874.230155001514
.0...64.0...45956...381174..122732982.4330440582
.0..128.1..264378..3360074.2429844368
.0..256.0.1520571.28284160
.0..512.1.8746983
.0.1024.0
.0.2048
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..0..2..0..2....1..1..1..1....0..2..0..2....0..2..0..1....0..2..1..1
..2..0..2..0....0..2..0..2....1..1..1..1....1..1..2..1....2..0..0..1
..1..1..1..1....2..0..2..0....2..0..2..0....1..1..2..0....1..2..2..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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