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Number of (n+1) X (n+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.
0

%I #7 Feb 07 2014 19:19:23

%S 81,1632,53167,3604930,480758688,101410470742,36546653191142,

%T 26246859602932048

%N Number of (n+1) X (n+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

%C Diagonal of A237412.

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 07 2014