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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 (list; table; graph; refs; listen; history; text; internal format)
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

R. H. Hardin, Table of n, a(n) for n = 1..364

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 * A021261 A245263 A016672

Adjacent sequences:  A229369 A229370 A229371 * A229373 A229374 A229375

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 21 2013

STATUS

approved

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Last modified January 18 16:27 EST 2020. Contains 331011 sequences. (Running on oeis4.)