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A236651
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock
6
81, 484, 484, 2932, 4500, 2932, 17824, 41980, 41980, 17824, 108272, 394380, 608656, 394380, 108272, 655100, 3668492, 8891884, 8891884, 3668492, 655100, 3970468, 34234336, 128476048, 204824360, 128476048, 34234336, 3970468, 24093844
OFFSET
1,1
COMMENTS
Table starts
........81.........484.........2932.........17824........108272........655100
.......484........4500........41980........394380.......3668492......34234336
......2932.......41980.......608656.......8891884.....128476048....1869749396
.....17824......394380......8891884.....204824360....4639468308..106762847796
....108272.....3668492....128476048....4639468308..164401921546.5963465890608
....655100....34234336...1869749396..106762847796.5963465890608
...3970468...319904840..27242456824.2451445050484
..24093844..2991463632.396368005036
.146112996.27901011760
.885471428
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 11]
k=2: [order 38] for n>39
EXAMPLE
Some solutions for n=2 k=4
..0..0..2..0..2....0..2..0..0..1....0..0..1..0..2....0..1..1..2..1
..1..0..2..2..0....2..0..0..1..0....2..0..2..1..0....0..1..1..0..2
..0..2..2..1..0....0..1..0..1..1....0..2..2..0..0....2..0..0..2..2
CROSSREFS
Sequence in context: A253400 A250620 A237082 * A295018 A250613 A237077
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 29 2014
STATUS
approved