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Number of (6+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction
1

%I #4 Nov 26 2014 10:50:45

%S 7307,53847,381834,2290189,12291286,60472234,280151655,1237636447,

%T 5285753380,21946694869,89235599813,356402744473,1404452191513,

%U 5470813048913,21126872740673,80977726517672,308665836867714

%N Number of (6+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

%C Row 6 of A250632

%H R. H. Hardin, <a href="/A250638/b250638.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A250638/a250638.txt">Empirical recurrence of order 57</a>

%F Empirical recurrence of order 57 (see link above)

%e Some solutions for n=2

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014