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Number of nX3 arrays containing 3 copies of 0..n-1 with no element 1 greater than its north, west or northeast neighbor modulo n and the upper left element equal to 0.
0

%I #4 Aug 12 2016 07:05:17

%S 1,0,5,91,40727,20874574,23274835718,39868129982498,102457584348682968

%N Number of nX3 arrays containing 3 copies of 0..n-1 with no element 1 greater than its north, west or northeast neighbor modulo n and the upper left element equal to 0.

%C Column 3 of A266291.

%e Some solutions for n=5

%e ..0..4..4....0..0..4....0..2..4....0..3..2....0..2..2....0..4..2....0..4..3

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

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

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

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

%Y Cf. A266291.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 26 2015