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Number of (3+1)X(n+1) 0..3 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise
1

%I #4 Jan 16 2014 06:46:11

%S 28978,2273170,153490516,8998042696,482216047328,23797784915364,

%T 1102892178841080,48371216588677388,2027649275673524316,

%U 81727952535760564092,3186374072680537092694,120692189251721727046564

%N Number of (3+1)X(n+1) 0..3 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise

%C Row 3 of A235818

%H R. H. Hardin, <a href="/A235820/b235820.txt">Table of n, a(n) for n = 1..163</a>

%e Some solutions for n=1

%e ..0..2....1..3....1..0....3..0....2..1....0..3....3..1....3..0....0..3....2..3

%e ..0..1....2..3....2..0....3..2....0..3....1..2....1..1....1..3....1..3....0..3

%e ..2..2....1..1....1..2....2..3....1..1....1..3....1..3....0..3....3..3....3..3

%e ..1..1....2..2....0..1....0..2....0..2....3..2....3..3....3..2....3..0....0..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2014