%I #4 Mar 13 2015 13:56:04

%S 33,68,68,154,164,154,352,484,484,352,798,1302,1689,1302,798,1804,

%T 3500,5559,5559,3500,1804,4086,9820,18881,23134,18881,9820,4086,9304,

%U 27424,65202,96363,96363,65202,27424,9304,21194,76068,223901,408233,494704

%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 1 and no column sum 1

%C Table starts

%C ....33.....68.....154.......352........798........1804.........4086

%C ....68....164.....484......1302.......3500........9820........27424

%C ...154....484....1689......5559......18881.......65202.......223901

%C ...352...1302....5559.....23134......96363......408233......1736085

%C ...798...3500...18881.....96363.....494704.....2608924.....13744343

%C ..1804...9820...65202....408233....2608924....17064206....111505109

%C ..4086..27424..223901...1736085...13744343...111505109....904174706

%C ..9304..76068..772322...7397708...72433360...730298893...7347151637

%C .21194.212126.2674536..31551114..383085494..4797270283..59890010020

%C .48176.592302.9246717.134520680.2025211622.31486421742.487874115891

%H R. H. Hardin, <a href="/A256029/b256029.txt">Table of n, a(n) for n = 1..419</a>

%F Empirical for column k:

%F k=1: a(n) = 2*a(n-1) -a(n-2) +4*a(n-3) -2*a(n-6) -4*a(n-7) +2*a(n-9) for n>10

%F k=2: [order 12]

%F k=3: [order 26] for n>28

%F k=4: [order 40] for n>42

%F k=5: [order 77] for n>79

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Mar 13 2015