%I #4 Feb 11 2015 10:14:42
%S 121,310,310,1008,1282,1008,3241,6915,6915,3241,9961,27211,49040,
%T 27211,9961,30529,116534,260705,260705,116534,30529,94351,518534,
%U 1592767,1892418,1592767,518534,94351,292130,2243657,9673960,14786310,14786310
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0
%C Table starts
%C .....121.......310........1008.........3241...........9961............30529
%C .....310......1282........6915........27211.........116534...........518534
%C ....1008......6915.......49040.......260705........1592767..........9673960
%C ....3241.....27211......260705......1892418.......14786310........120085764
%C ....9961....116534.....1592767.....14786310......157053228.......1760294428
%C ...30529....518534.....9673960....120085764.....1760294428......26791709738
%C ...94351...2243657....57587977....951267911....18669294271.....386436174713
%C ..292130...9685030...343845199...7494431489...198281505279....5591072360971
%C ..902991..42217091..2068795871..59709702434..2142895186847...82384470012045
%C .2789674.183348161.12385458149.473847733773.23011122611592.1203025247852858
%H R. H. Hardin, <a href="/A254978/b254978.txt">Table of n, a(n) for n = 1..263</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 10] for n>11
%F k=2: [order 20] for n>22
%F k=3: [order 35] for n>38
%F k=4: [order 59] for n>62
%e Some solutions for n=3 k=4
%e ..0..1..1..1..0..1....0..1..1..1..1..0....0..1..1..1..0..1....0..1..1..1..0..0
%e ..1..1..0..1..0..1....0..1..1..0..1..0....1..1..1..1..1..1....0..1..0..1..1..1
%e ..0..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..0..0....1..1..1..1..1..0
%e ..1..1..1..1..1..1....0..1..1..1..1..1....0..1..0..1..1..1....1..1..1..1..1..1
%e ..0..1..1..1..0..0....0..0..1..1..1..1....0..1..1..1..1..0....0..1..0..1..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 11 2015