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Number of (n+1) X (n+1) 0..1 arrays with nondecreasing max(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
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%I #7 Nov 25 2014 11:15:36

%S 10,60,336,1776,8914,43202,203560,939730,4266332,19120668,84774066,

%T 372587962,1625370614,7046239064,30380655534,130376624746,

%U 557189663232,2372600434880,10070044493366,42616195500252,179877106083440

%N Number of (n+1) X (n+1) 0..1 arrays with nondecreasing max(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 Diagonal of A250583

%H R. H. Hardin, <a href="/A250575/b250575.txt">Table of n, a(n) for n = 1..28</a>

%e Some solutions for n=6

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 25 2014