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%I #4 Feb 08 2015 11:34:03
%S 192,576,576,1632,1369,1632,4624,2916,2916,4624,13328,6889,5904,6889,
%T 13328,38416,16900,13456,13456,16900,38416,110544,42436,34176,37636,
%U 34176,42436,110544,318096,103684,87616,99856,99856,87616,103684,318096
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum one and no antidiagonal sum two
%C Table starts
%C .....192.....576....1632.....4624....13328.....38416.....110544......318096
%C .....576....1369....2916.....6889....16900.....42436.....103684......250000
%C ....1632....2916....5904....13456....34176.....87616.....216000......518400
%C ....4624....6889...13456....37636....99856....271441.....729316.....1996569
%C ...13328...16900...34176....99856...296800....902500....2811104.....8773444
%C ...38416...42436...87616...271441...902500...3316041...12013156....42016324
%C ..110544..103684..216000...729316..2811104..12013156...50676440...192820996
%C ..318096..250000..518400..1996569..8773444..42016324..192820996...827137600
%C ..913680..595984.1246464..5466244.26777920.136936804..677038812..3207636496
%C .2624400.1447209.3069504.15202201.80389156.443439364.2389645456.12899507776
%H R. H. Hardin, <a href="/A254854/b254854.txt">Table of n, a(n) for n = 1..755</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) +8*a(n-3) +12*a(n-4) +20*a(n-5) +32*a(n-6) -64*a(n-8) -64*a(n-9)
%e Some solutions for n=4 k=4
%e ..0..1..0..1..0..1....0..1..0..0..1..1....0..1..0..1..0..1....0..1..0..1..1..1
%e ..0..0..1..0..1..1....1..0..0..0..1..1....1..0..1..0..0..1....0..0..1..0..1..0
%e ..1..1..0..1..0..0....0..1..0..1..0..1....1..1..0..0..0..1....0..1..0..1..0..0
%e ..1..0..1..0..1..0....0..0..1..0..1..0....1..0..0..0..1..0....1..0..1..0..1..0
%e ..0..1..1..0..0..1....1..1..0..1..0..0....0..1..1..1..0..1....0..1..0..0..0..0
%e ..1..0..0..1..1..0....1..0..1..0..1..0....0..0..1..1..1..0....1..1..0..0..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 08 2015
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