%I #5 Mar 31 2012 12:36:56
%S 1,1,1,1,36,1,1,861,861,1,1,12783,107968,12783,1,1,165993,7849844,
%T 7849844,165993,1,1,2229009,525063657,2590250609,525063657,2229009,1,
%U 1,31121459,38204132307,805342647391,805342647391,38204132307,31121459,1,1
%N T(n,k)=Number of nXk 0..5 arrays with every nonzero element less than or equal to some NW, E or S neighbor
%C Table starts
%C .1.........1...............1....................1.........................1
%C .1........36.............861................12783....................165993
%C .1.......861..........107968..............7849844.................525063657
%C .1.....12783.........7849844...........2590250609..............805342647391
%C .1....165993.......525063657.........805342647391..........1126396980640358
%C .1...2229009.....38204132307......273475278673606.......1710751676209296372
%C .1..31121459...2854004857534....94164551870236956....2658493631378011835550
%C .1.435195718.209528571255971.31840186365984384473.4082511881983390614103873
%H R. H. Hardin, <a href="/A203277/b203277.txt">Table of n, a(n) for n = 1..112</a>
%e Some solutions for n=4 k=3
%e ..4..5..2....4..5..2....0..0..4....2..2..0....5..0..4....5..4..1....1..5..1
%e ..2..5..2....4..5..2....3..1..4....1..2..3....5..4..4....5..4..4....5..5..5
%e ..1..5..2....5..5..2....3..5..4....5..4..3....5..0..4....5..0..4....4..3..2
%e ..5..5..5....3..5..5....4..5..5....5..5..3....5..5..0....5..5..0....4..4..1
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_ Dec 31 2011