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A235911
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the minimum plus the maximum unequal to the lower median plus the upper median in every 2X2 subblock
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9
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48, 260, 260, 1408, 2618, 1408, 7632, 26408, 26408, 7632, 41344, 267548, 499136, 267548, 41344, 224064, 2707568, 9533120, 9533120, 2707568, 224064, 1213952, 27447272, 181855488, 345346064, 181855488, 27447272, 1213952, 6578432
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OFFSET
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1,1
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COMMENTS
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Table starts
.......48.........260...........1408..............7632................41344
......260........2618..........26408............267548..............2707568
.....1408.......26408.........499136...........9533120............181855488
.....7632......267548........9533120.........345346064..........12495925760
....41344.....2707568......181855488.......12495925760.........857962921984
...224064....27447272.....3481713664......454589648064.......59328151603200
..1213952...278028320....66562286592....16501573788672.....4091230986428416
..6578432..2818432496..1274524104704...600431925362944...283020673044676608
.35643392.28558894016.24381793964032.21815700608966656.19540542590093524992
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 2*a(n-1) +20*a(n-2) -8*a(n-3)
k=2: a(n) = 8*a(n-1) +58*a(n-2) -368*a(n-3) -24*a(n-4) +192*a(n-5)
k=3: [order 9]
k=4: [order 16]
k=5: [order 32]
k=6: [order 62]
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EXAMPLE
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Some solutions for n=2 k=4
..0..2..1..1..1....0..0..2..2..1....0..0..0..1..2....0..0..0..1..2
..2..2..2..1..0....2..0..0..2..0....2..1..0..2..2....0..2..0..2..2
..1..2..1..1..1....2..1..2..2..2....2..0..0..1..0....0..1..0..0..2
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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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