A203506 - OEIS

%I #5 Mar 31 2012 12:36:57

%S 1,1,1,1,49,1,1,1554,1554,1,1,29701,296814,29701,1,1,481122,31795165,

%T 31795165,481122,1,1,7959529,3024812086,17549687172,3024812086,

%U 7959529,1,1,138035591,312327861320,8828365834694,8828365834694,312327861320

%N T(n,k)=Number of nXk 0..6 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........49...........1554...............29701...................481122

%C .1......1554.........296814............31795165...............3024812086

%C .1.....29701.......31795165.........17549687172............8828365834694

%C .1....481122.....3024812086.......8828365834694........22732800433168401

%C .1...7959529...312327861320....4878810545594780.....63659189467084692929

%C .1.138035591.33576251318216.2766231303166191786.184087747131825069346215

%H R. H. Hardin, <a href="/A203506/b203506.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=5 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Jan 02 2012