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T(n,k)=Number of nXk 0..3 arrays with every nonzero element less than or equal to some NW, E or S neighbor
8

%I #5 Mar 31 2012 12:36:56

%S 1,1,1,1,16,1,1,185,185,1,1,1455,7785,1455,1,1,10804,210342,210342,

%T 10804,1,1,83876,5666072,18530502,5666072,83876,1,1,661595,163500122,

%U 1650100394,1650100394,163500122,661595,1,1,5187181,4711784187

%N T(n,k)=Number of nXk 0..3 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......16..........185.............1455................10804

%C .1.....185.........7785...........210342..............5666072

%C .1....1455.......210342.........18530502...........1650100394

%C .1...10804......5666072.......1650100394.........474618867194

%C .1...83876....163500122.....156174348536......146110498224967

%C .1..661595...4711784187...14710444493905....45159146324783578

%C .1.5187181.134023641768.1372836933907585.13840616100127064523

%H R. H. Hardin, <a href="/A203397/b203397.txt">Table of n, a(n) for n = 1..180</a>

%e Some solutions for n=4 k=3

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

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

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

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

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Jan 01 2012