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A237511
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
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9
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81, 328, 328, 1342, 1724, 1342, 5622, 9108, 9108, 5622, 23545, 50876, 62031, 50876, 23545, 97700, 284368, 462206, 462206, 284368, 97700, 406008, 1553960, 3489965, 4882448, 3489965, 1553960, 406008, 1690160, 8478776, 25188644, 52177092
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OFFSET
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1,1
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COMMENTS
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Table starts
.......81........328........1342..........5622...........23545
......328.......1724........9108.........50876..........284368
.....1342.......9108.......62031........462206.........3489965
.....5622......50876......462206.......4882448........52177092
....23545.....284368.....3489965......52177092.......785179913
....97700....1553960....25188644.....519582770.....10729163264
...406008....8478776...180995914....5108133318....144998701422
..1690160...46757986..1323886040...52155298022...2060542176864
..7044600..257959884..9750862216..537071054554..29631609284098
.29290848.1416477192.70896853212.5420999342862.413277799902244
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..144
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FORMULA
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Empirical for column k:
k=1: a(n) = 208*a(n-4) +1448*a(n-6) +2500*a(n-8) +528*a(n-10) -624*a(n-12)
k=2: [order 29]
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EXAMPLE
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Some solutions for n=3 k=4
..0..1..2..0..1....0..1..1..0..0....0..2..2..1..2....0..2..1..2..2
..1..1..0..0..2....1..1..1..1..0....1..0..1..2..0....1..0..2..2..2
..1..1..1..2..0....1..1..2..0..1....1..0..2..0..1....1..1..0..1..1
..0..1..1..1..0....1..0..1..2..1....1..2..1..1..1....0..2..2..1..0
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CROSSREFS
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Sequence in context: A250427 A236828 A236821 * A237504 A222162 A237481
Adjacent sequences: A237508 A237509 A237510 * A237512 A237513 A237514
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Feb 08 2014
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STATUS
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approved
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