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A235765
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T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise
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8
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16, 48, 48, 141, 216, 141, 378, 977, 977, 378, 988, 3900, 6882, 3900, 988, 2482, 15197, 41446, 41446, 15197, 2482, 6109, 55816, 242684, 375746, 242684, 55816, 6109, 14712, 199720, 1310058, 3328260, 3328260, 1310058, 199720, 14712, 34896, 691634
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OFFSET
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1,1
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COMMENTS
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Table starts
....16......48.......141.........378...........988.............2482
....48.....216.......977........3900.........15197............55816
...141.....977......6882.......41446........242684..........1310058
...378....3900.....41446......375746.......3328260.........26947867
...988...15197....242684.....3328260......44717902........548550245
..2482...55816...1310058....26947867.....548550245......10315124920
..6109..199720...6840001...210973948....6523068739.....190693042666
.14712..691634..34087789..1565770379...73498947702....3383470907219
.34896.2344746.165068548.11256123354..803300615533...58972454432362
.81612.7785110.775598494.78072050576.8465670858075.1000721111089237
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 4*a(n-1) -14*a(n-3) +5*a(n-4) +18*a(n-5) -4*a(n-6) -8*a(n-7)
k=2: [order 16]
k=3: [order 54]
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EXAMPLE
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Some solutions for n=3 k=4
..0..1..0..1..0....1..1..1..1..0....1..0..0..1..1....0..0..0..0..0
..1..0..1..0..1....0..0..1..1..1....0..1..1..1..0....1..0..1..0..1
..0..0..0..1..1....0..1..0..1..0....0..0..0..0..1....0..0..0..0..0
..0..1..0..0..0....0..0..0..0..0....0..1..0..0..1....0..0..0..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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