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Number of (n+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically
1

%I #5 Jun 03 2015 09:07:42

%S 16,112,598,1891,5070,10854,21653,38451,64507,100830,153641,223684,

%T 317754,436768,592439,784607,1024843,1313644,1669887,2091844,2597102,

%U 3185410,3884481,4690355,5627875,6695714,7932093,9330156,10923242

%N Number of (n+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically

%C Diagonal of A258554

%H R. H. Hardin, <a href="/A258546/b258546.txt">Table of n, a(n) for n = 1..69</a>

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A258554

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 03 2015