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Number of (2+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 06:45:28

%S 2894,87888,2287822,52447112,1113883030,22196597522,422920594570,

%T 7766100008976,138645436041864,2418329907871922,41404091421401562,

%U 697988478843485434,11617489583931774864,191301863229644130672

%N Number of (2+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 2 of A235818

%H R. H. Hardin, <a href="/A235819/b235819.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2014