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A237557
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
9
81, 312, 312, 1240, 1668, 1240, 4752, 8764, 8764, 4752, 19128, 44668, 60002, 44668, 19128, 72736, 224948, 343356, 343356, 224948, 72736, 290112, 1181206, 2403292, 3207808, 2403292, 1181206, 290112, 1110080, 6170564, 16373120, 31949604
OFFSET
1,1
COMMENTS
Table starts
.......81.......312........1240..........4752...........19128.............72736
......312......1668........8764.........44668..........224948...........1181206
.....1240......8764.......60002........343356.........2403292..........16373120
.....4752.....44668......343356.......3207808........31949604.........343405228
....19128....224948.....2403292......31949604.......501667350........7491413632
....72736...1181206....16373120.....343405228......7491413632......184415543478
...290112...6170564...122961380....3451915208....121479741228.....4464911984580
..1110080..31538382...785426128...35706407872...1880267004328...111924132471320
..4459296.160690160..5684118308..366179841668..31026163220506..2597291507415400
.16979328.838194016.38591882672.3961978247404.474035056075552.65416086570517240
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 192*a(n-4) +608*a(n-6) +400*a(n-8) for n>9
k=2: [order 14]
k=3: [order 44] for n>49
k=4: [order 90] for n>94
EXAMPLE
Some solutions for n=3 k=4
..0..1..1..2..1....0..2..1..1..2....0..1..2..1..0....0..2..0..1..1
..0..0..1..1..2....0..0..0..1..1....0..1..1..2..0....0..1..2..1..0
..0..0..0..1..1....1..0..0..0..1....2..1..1..1..2....1..0..0..2..0
..1..2..2..0..1....0..1..0..2..0....1..2..0..1..0....2..0..0..1..2
CROSSREFS
Sequence in context: A183994 A237703 A237696 * A237550 A237567 A237560
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 09 2014
STATUS
approved