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A236728
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal
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9
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81, 211, 211, 550, 639, 550, 1517, 1956, 1956, 1517, 4227, 6469, 6879, 6469, 4227, 12072, 21829, 26724, 26724, 21829, 12072, 34817, 76632, 105206, 127113, 105206, 76632, 34817, 101881, 274715, 437291, 607539, 607539, 437291, 274715, 101881
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OFFSET
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1,1
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COMMENTS
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Table starts
.....81......211.......550.......1517........4227........12072..........34817
....211......639......1956.......6469.......21829........76632.........274715
....550.....1956......6879......26724......105206.......437291........1848980
...1517.....6469.....26724.....127113......607539......3160902.......16715765
...4227....21829....105206.....607539.....3413516.....21593010......134575906
..12072....76632....437291....3160902....21593010....173486981.....1348210352
..34817...274715...1848980...16715765...134575906...1348210352....12274465993
.101881..1011801...8110850...93822025...924460811..12005446008...137842125459
.300694..3796026..36063603..532796164..6207464355.102540924177..1381237105116
.896941.14529341.164600818.3156424373.45401368428.988394918974.17192183061068
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 20]
k=2: [order 41]
k=3: [order 81]
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EXAMPLE
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Some solutions for n=4 k=4
..1..2..1..2..1....2..1..1..2..1....0..0..0..1..2....1..2..1..0..1
..2..0..2..0..2....1..2..2..1..0....2..2..2..1..2....0..2..2..2..2
..2..1..2..1..2....0..1..1..2..1....2..2..2..1..2....2..1..0..1..0
..2..0..2..2..2....1..2..0..1..2....2..2..2..1..2....2..2..2..2..2
..2..1..2..1..0....1..0..2..1..0....0..0..0..1..2....2..1..0..1..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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