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T(n,k)=Half the number of (n+2)X(k+2) 0..3 arrays with each 3X3 subblock having sum 13 or 14
4

%I #5 Mar 31 2012 12:36:08

%S 30276,578832,578832,11193852,16360280,11193852,222367896,468071656,

%T 468071656,222367896,4615930512,14036056356,19778096074,14036056356,

%U 4615930512,96136061832,454513218192,890680176554,890680176554

%N T(n,k)=Half the number of (n+2)X(k+2) 0..3 arrays with each 3X3 subblock having sum 13 or 14

%C Table starts

%C .......30276.......578832.....11193852....222367896.....4615930512

%C ......578832.....16360280....468071656..14036056356...454513218192

%C ....11193852....468071656..19778096074.890680176554.44626342857330

%C ...222367896..14036056356.890680176554

%C ..4615930512.454513218192

%C .96136061832

%H R. H. Hardin, <a href="/A187376/b187376.txt">Table of n, a(n) for n = 1..24</a>

%e Some solutions for 5X4

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

%e ..1..2..2..1....3..2..2..2....1..2..2..3....1..2..2..3....3..2..0..3

%e ..2..2..2..0....2..2..0..3....2..2..2..0....2..2..0..0....2..2..2..0

%e ..0..0..2..3....2..0..0..3....2..0..0..3....2..0..2..3....0..2..0..2

%e ..2..1..3..1....2..2..3..1....1..3..1..3....2..1..3..2....2..2..2..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 09 2011