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%I #4 Oct 29 2015 08:58:29
%S 5,0,0,33,16,33,0,0,0,0,261,528,2399,528,261,0,0,0,0,0,0,2241,14112,
%T 252097,320148,252097,14112,2241,0,0,0,0,0,0,0,0,19845,359200,
%U 29452071,151930944,394241389,151930944,29452071,359200,19845,0,0,0,0,0,0,0,0,0,0
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row and column modulo 3 equal to 1, read as a binary number with top and left being the most significant bits.
%C Table starts
%C ....5.....0.......33.........0..........261.............0..............2241
%C ....0....16........0.......528............0.........14112.................0
%C ...33.....0.....2399.........0.......252097.............0..........29452071
%C ....0...528........0....320148............0.....151930944.................0
%C ..261.....0...252097.........0....394241389.............0......699094613961
%C ....0.14112........0.151930944............0.1207439092800.................0
%C .2241.....0.29452071.........0.699094613961.............0.19392931688071671
%H R. H. Hardin, <a href="/A263913/b263913.txt">Table of n, a(n) for n = 1..144</a>
%F Empirical for column k:
%F k=1: a(n) = 12*a(n-2) -27*a(n-4)
%F k=2: a(n) = 33*a(n-2) -207*a(n-4) +175*a(n-6)
%F k=3: a(n) = 169*a(n-2) -6387*a(n-4) +71671*a(n-6) -195052*a(n-8)
%F k=4: [order 12]
%F k=5: [order 16]
%F k=6: [order 18]
%F k=7: [order 22]
%Y Column 1 (nonzero terms) is A061253.
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Oct 29 2015
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