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A251065
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01
14
50, 222, 336, 867, 2740, 2167, 3123, 17129, 31895, 14180, 10660, 89429, 320950, 379440, 92429, 35064, 410718, 2482824, 6182747, 4499219, 603249, 112373, 1716324, 15857764, 71431719, 119032248, 53420941, 3935721, 353517, 6678657, 87634164
OFFSET
1,1
COMMENTS
Table starts
......50.......222.........867..........3123..........10660...........35064
.....336......2740.......17129.........89429.........410718.........1716324
....2167.....31895......320950.......2482824.......15857764........87634164
...14180....379440.....6182747......71431719......641508138......4755605792
...92429...4499219...119032248....2062530658....26192388204....262314968432
..603249..53420941..2295692500...59730054958..1074828860950..14586457826568
.3935721.634161915.44280784440.1731036678270.44184817939580.813777827212550
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 6*a(n-1) +7*a(n-2) -23*a(n-3) -4*a(n-4) +12*a(n-5)
k=2: [order 11]
k=3: [order 39]
Empirical for row n:
n=1: a(n) = 9*a(n-1) -31*a(n-2) +51*a(n-3) -40*a(n-4) +12*a(n-5)
n=2: [order 12]
n=3: [order 21]
n=4: [order 27]
n=5: [order 33]
n=6: [order 39]
EXAMPLE
Some solutions for n=2 k=4
..1..2..0..2..2....0..1..2..1..1....0..1..1..1..2....1..2..0..0..2
..1..0..2..2..2....0..1..0..2..2....0..0..0..0..2....0..0..2..2..1
..0..1..1..1..1....1..0..1..0..0....0..1..2..2..1....0..1..0..0..1
CROSSREFS
Column 1 is A184556
Row 1 is A222993(n+1)
Sequence in context: A179755 A186843 A250527 * A231087 A235956 A197971
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 29 2014
STATUS
approved