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Number of n X n 0..2n-2 arrays with upper left zero and lower right 2n-2 and each element differing from its horizontal and vertical neighbors by one or two.
0

%I #5 Dec 18 2015 18:18:54

%S 1,1,145,57721,41855199,569620472894,7361174970568815,

%T 1484662166072017164173,589336120060277543986621142

%N Number of n X n 0..2n-2 arrays with upper left zero and lower right 2n-2 and each element differing from its horizontal and vertical neighbors by one or two.

%C Diagonal of A265447.

%e Some solutions for n=4

%e ..0..2..4..2....0..2..1..2....0..2..0..1....0..2..3..4....0..2..4..5

%e ..2..0..2..4....2..1..3..4....2..3..1..2....1..3..1..3....2..3..5..6

%e ..1..2..4..5....3..2..4..5....0..1..2..4....3..1..2..4....4..5..6..4

%e ..3..4..5..6....5..4..5..6....1..3..4..6....1..2..4..6....2..3..4..6

%Y Cf. A265447.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 09 2015