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Number of (4+1)X(n+1) 0..2 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw
1

%I #4 Dec 30 2014 20:03:47

%S 11100,103572,1027387,10639450,105139503,943840336,8129400162,

%T 61350595327,450711542396,2911009846178,18478731754431,

%U 104649394080765,585745828803677,2972653381744884,14960767110980305,69280697059183435

%N Number of (4+1)X(n+1) 0..2 arrays with every 2X2 subblock sum nondecreasing horizontally, vertically and antidiagonally ne-to-sw

%C Row 4 of A253375

%H R. H. Hardin, <a href="/A253378/b253378.txt">Table of n, a(n) for n = 1..127</a>

%e Some solutions for n=2

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014