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T(n,k)=Number of nXk 0..5 arrays with every nonzero element less than or equal to some NW, E or S neighbor
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%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