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R. H. Hardin, <a href="/A250949/b250949.txt">Table of n, a(n) for n = 1..158</a>
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Number of (7+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction
40357, 428095, 4106983, 36809498, 300230097, 2251710502, 15686582837, 102608620935, 635877024847, 3761814167894, 21377061188188, 117290921530356, 624016885183519, 3230699482590753, 16325650347436124, 80728866160658829
1,1
Row 7 of A250942
Some solutions for n=1
..0..0....1..0....0..0....0..0....0..0....1..0....1..0....1..0....0..2....2..1
..0..1....0..1....0..1....0..2....0..1....1..0....1..0....1..0....1..1....2..1
..1..0....0..1....1..0....2..0....0..2....0..2....1..1....1..0....1..2....1..2
..0..2....0..1....1..1....2..0....0..2....0..2....0..2....1..0....2..1....1..2
..0..2....0..1....1..1....2..0....1..1....0..2....2..0....1..1....1..2....1..2
..1..1....0..1....1..2....1..1....0..2....1..1....0..2....0..2....1..2....1..2
..2..0....1..2....1..2....1..1....2..0....2..0....0..2....2..0....2..1....1..2
..2..2....2..1....1..2....2..0....1..1....2..2....2..0....1..2....1..2....2..1
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nonn
R. H. Hardin, Nov 28 2014
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