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Number of n X 3 arrays containing 3 copies of 0..n-1 with every element equal to or 1 greater than any north neighbor modulo n and the upper left element equal to 0.
0

%I #10 Sep 07 2023 19:50:04

%S 1,10,39,118,313,780,1789,4024,8793,18760,39577,82662,170677,350758,

%T 717189,1458604,2959003,5987586

%N Number of n X 3 arrays containing 3 copies of 0..n-1 with every element equal to or 1 greater than any north neighbor modulo n and the upper left element equal to 0.

%e Some solutions for n=4:

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

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

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

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

%Y Column 3 of A267751.

%K nonn,more

%O 1,2

%A _R. H. Hardin_, Jan 20 2016