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A250683 Number of (7+1)X(n+1) 0..3 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.

%I A250683 #6 Jul 23 2025 12:41:16
%S A250683 1005121,32230991,923242475,23739860017,542694735983,11161659240791,
%T A250683 210335029800118,3682042848693451,60641209583699449,
%U A250683 948745856029597670,14215547255379464689,205309451238359552540,2873492420605039758875
%N A250683 Number of (7+1)X(n+1) 0..3 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.
%C A250683 Row 7 of A250676
%H A250683 R. H. Hardin, <a href="/A250683/b250683.txt">Table of n, a(n) for n = 1..17</a>
%e A250683 Some solutions for n=1
%e A250683 ..0..2....0..1....0..0....0..0....0..1....0..0....0..0....0..1....0..1....0..0
%e A250683 ..0..2....0..3....0..0....0..2....0..3....0..3....0..2....0..2....0..1....0..2
%e A250683 ..2..0....2..1....0..2....2..0....2..1....0..3....0..3....2..0....0..3....2..0
%e A250683 ..2..1....3..0....0..3....2..2....0..3....3..0....1..2....0..2....2..1....0..2
%e A250683 ..0..3....1..2....3..0....3..1....1..2....3..1....1..2....2..0....2..2....2..0
%e A250683 ..2..1....0..3....1..3....1..3....3..0....1..3....2..1....2..0....3..1....0..3
%e A250683 ..3..0....1..2....3..1....3..1....2..1....2..2....1..2....3..1....2..3....2..1
%e A250683 ..2..3....2..3....3..1....2..2....3..0....1..3....2..3....3..1....3..2....3..0
%K A250683 nonn
%O A250683 1,1
%A A250683 _R. H. Hardin_, Nov 26 2014