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Number of (4+1) X (n+1) 0..3 arrays with the difference of the upper and lower median value of each 2 X 2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise.
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%I #5 Apr 21 2021 14:20:00

%S 268448,52510194,9225012664,1441675265430,209596416266780,

%T 28196902285660542,3557678832961970242,421909777278978907348,

%U 47357147640683100682322,5051663776188302152122470

%N Number of (4+1) X (n+1) 0..3 arrays with the difference of the upper and lower median value of each 2 X 2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise.

%C Row 4 of A235818.

%e Some solutions for n=1

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

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

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

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

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

%Y Cf. A235818.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2014