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T(n,k)=Number of nXk 0..6 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor
9

%I #5 Mar 31 2012 12:36:55

%S 1,7,7,49,455,49,252,16625,16625,252,1127,491953,3421817,491953,1127,

%T 4977,14623955,608893191,608893191,14623955,4977,22736,449303011,

%U 111898706731,647485600638,111898706731,449303011,22736,105813

%N T(n,k)=Number of nXk 0..6 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor

%C Table starts

%C ......1............7.................49......................252

%C ......7..........455..............16625...................491953

%C .....49........16625............3421817................608893191

%C ....252.......491953..........608893191.............647485600638

%C ...1127.....14623955.......111898706731..........710826096063039

%C ...4977....449303011.....20929382959987.......791448514067936533

%C ..22736..13830934581...3898031053158067....877818049790930479334

%C .105813.423540231589.724530008223344653.972407155723593469149291

%H R. H. Hardin, <a href="/A203066/b203066.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=5 k=3

%e ..4..2..1....2..4..1....4..6..2....2..0..6....5..0..6....1..6..5....5..6..2

%e ..6..2..3....4..4..4....5..6..1....2..2..6....5..6..6....1..6..5....1..6..5

%e ..6..4..5....1..6..2....1..2..3....2..4..0....1..2..3....3..3..4....4..1..3

%e ..3..5..5....3..6..1....5..0..6....1..4..5....5..3..5....4..5..1....4..1..6

%e ..3..5..3....0..6..1....5..0..6....0..3..5....5..3..5....0..5..4....6..6..6

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Dec 28 2011