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A229372
T(n,k)=Number of nXk 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally
8
3, 8, 8, 22, 38, 22, 60, 184, 184, 60, 164, 869, 1610, 869, 164, 448, 4144, 13937, 13937, 4144, 448, 1224, 19675, 122497, 222990, 122497, 19675, 1224, 3344, 93589, 1067299, 3576912, 3576912, 1067299, 93589, 3344, 9136, 444824, 9346997, 56939585
OFFSET
1,1
COMMENTS
Table starts
....3......8.......22..........60...........164.............448
....8.....38......184.........869..........4144...........19675
...22....184.....1610.......13937........122497.........1067299
...60....869....13937......222990.......3576912........56939585
..164...4144...122497.....3576912.....104382552......3043629267
..448..19675..1067299....56939585....3043629267....162794962814
.1224..93589..9346997...911301584...89084628843...8710922742428
.3344.444824.81633583.14532090528.2599351293506.465220677212678
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1) +2*a(n-2)
k=2: a(n) = 2*a(n-1) +13*a(n-2) +3*a(n-3) -13*a(n-4) +4*a(n-5)
k=3: [order 11]
k=4: [order 24] for n>25
k=5: [order 50] for n>54
EXAMPLE
Some solutions for n=3 k=4
..2..1..2..2....1..2..0..2....0..1..0..0....1..0..2..1....0..1..0..1
..0..2..1..0....0..1..2..1....1..2..2..2....2..1..0..0....2..1..0..2
..2..0..1..2....2..1..0..1....0..0..0..1....1..2..1..2....1..2..2..1
CROSSREFS
Column 1 is A028859
Sequence in context: A101385 A161432 A229380 * A357406 A021261 A245263
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Sep 21 2013
STATUS
approved