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Number of (n+1)X(4+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise
1

%I #4 Jan 15 2014 09:22:55

%S 378,3900,41446,375746,3328260,26947867,210973948,1565770379,

%T 11256123354,78072050576,527123759962,3466598019110,22301706547606,

%U 140574140178572,870358749670086,5301475268558800,31823194588016876,188502025819240539

%N Number of (n+1)X(4+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise

%C Column 4 of A235765

%H R. H. Hardin, <a href="/A235761/b235761.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 15 2014