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%I #4 Mar 06 2015 12:34:30
%S 90,177,177,361,270,361,715,491,491,715,1478,884,1050,884,1478,2969,
%T 1696,2141,2141,1696,2969,6186,3376,4908,5240,4908,3376,6186,12534,
%U 6668,11631,13857,13857,11631,6668,12534,26219,13654,28009,38889,43838,38889,28009
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0
%C Table starts
%C ....90...177....361.....715.....1478......2969.......6186......12534
%C ...177...270....491.....884.....1696......3376.......6668......13654
%C ...361...491...1050....2141.....4908.....11631......28009......69326
%C ...715...884...2141....5240....13857.....38889.....110678.....318089
%C ..1478..1696...4908...13857....43838....148202.....496995....1676288
%C ..2969..3376..11631...38889...148202....597517....2364049....9385686
%C ..6186..6668..28009..110678...496995...2364049...10902535...50280547
%C .12534.13654..69326..318089..1676288...9385686...50280547..269859998
%C .26219.28636.174169..924343..5721657..37725371..235622788.1476233444
%C .53487.60436.438621.2692440.19514341.151145267.1098780761.8022587091
%H R. H. Hardin, <a href="/A255792/b255792.txt">Table of n, a(n) for n = 1..758</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 12]
%F k=2: [order 38] for n>41
%F k=3: [order 46] for n>49
%F k=4: [order 44] for n>47
%F k=5: [order 62] for n>68
%F k=6: [order 76] for n>83
%e Some solutions for n=4 k=4
%e ..0..1..1..1..1..1....0..1..1..1..0..1....0..1..1..1..0..1....0..1..0..1..1..1
%e ..1..1..1..0..1..1....1..0..1..0..1..1....1..0..1..0..1..0....1..0..1..0..1..0
%e ..1..1..0..1..0..1....0..1..0..1..0..1....0..1..0..1..0..1....1..1..0..1..0..1
%e ..1..0..1..0..1..1....1..0..1..0..1..1....1..0..1..0..1..1....1..0..1..0..1..0
%e ..1..1..0..1..0..1....0..1..1..1..0..1....0..1..1..1..0..1....1..1..0..1..0..1
%e ..1..1..1..0..1..0....1..0..1..0..1..0....1..0..1..0..1..0....1..0..1..0..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Mar 06 2015
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