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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock summing to less than 4
10

%I #5 Mar 31 2012 12:36:00

%S 50,336,336,2167,5736,2167,14180,91157,91157,14180,92429,1486258,

%T 3436266,1486258,92429,603249,24057629,134840527,134840527,24057629,

%U 603249,3935721,390354307,5228522011,12900566348,5228522011,390354307,3935721

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock summing to less than 4

%C Table starts

%C .........50............336...............2167..................14180

%C ........336...........5736..............91157................1486258

%C .......2167..........91157............3436266..............134840527

%C ......14180........1486258..........134840527............12900566348

%C ......92429.......24057629.........5228522011..........1214657950233

%C .....603249......390354307.......203570564774........115000791536877

%C ....3935721.....6329171799......7915660174974......10868641315040295

%C ...25680486...102644935902....307926979784837....1027803541995894568

%C ..167558680..1664547601646..11976979258313503...97176104485641628222

%C .1093290051.26993866274311.465872448754593695.9188347231740579769607

%H R. H. Hardin, <a href="/A184564/b184564.txt">Table of n, a(n) for n = 1..180</a>

%e Some solutions for 4X3

%e ..0..2..2....1..2..1....2..0..1....2..2..2....1..1..0....0..1..2....0..1..0

%e ..0..2..0....0..2..2....0..2..1....1..2..0....2..2..2....2..1..1....2..1..2

%e ..2..2..1....2..2..0....2..0..2....2..0..2....0..2..0....2..0..2....1..2..1

%e ..1..1..2....0..1..2....1..1..2....2..2..1....1..2..2....0..2..1....2..1..2

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 17 2011