A229372 - OEIS

%I #4 Sep 21 2013 05:49:25

%S 3,8,8,22,38,22,60,184,184,60,164,869,1610,869,164,448,4144,13937,

%T 13937,4144,448,1224,19675,122497,222990,122497,19675,1224,3344,93589,

%U 1067299,3576912,3576912,1067299,93589,3344,9136,444824,9346997,56939585

%N T(n,k)=Number of nXk 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally

%C Table starts

%C ....3......8.......22..........60...........164.............448

%C ....8.....38......184.........869..........4144...........19675

%C ...22....184.....1610.......13937........122497.........1067299

%C ...60....869....13937......222990.......3576912........56939585

%C ..164...4144...122497.....3576912.....104382552......3043629267

%C ..448..19675..1067299....56939585....3043629267....162794962814

%C .1224..93589..9346997...911301584...89084628843...8710922742428

%C .3344.444824.81633583.14532090528.2599351293506.465220677212678

%H R. H. Hardin, <a href="/A229372/b229372.txt">Table of n, a(n) for n = 1..364</a>

%F Empirical for column k:

%F k=1: a(n) = 2*a(n-1) +2*a(n-2)

%F k=2: a(n) = 2*a(n-1) +13*a(n-2) +3*a(n-3) -13*a(n-4) +4*a(n-5)

%F k=3: [order 11]

%F k=4: [order 24] for n>25

%F k=5: [order 50] for n>54

%e Some solutions for n=3 k=4

%e ..2..1..2..2....1..2..0..2....0..1..0..0....1..0..2..1....0..1..0..1

%e ..0..2..1..0....0..1..2..1....1..2..2..2....2..1..0..0....2..1..0..2

%e ..2..0..1..2....2..1..0..1....0..0..0..1....1..2..1..2....1..2..2..1

%Y Column 1 is A028859

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Sep 21 2013