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Number of nX(n+2) arrays of permutations of n+2 copies of 0..n-1 with every element equal to or 1 greater than any north, west or southwest neighbors modulo n and the upper left element equal to 0.
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%I #3 Jan 13 2016 09:14:35

%S 1,35,24,135,1223,18140,413155,14116549,711260225

%N Number of nX(n+2) arrays of permutations of n+2 copies of 0..n-1 with every element equal to or 1 greater than any north, west or southwest neighbors modulo n and the upper left element equal to 0.

%C Superdiagonal 2 of A267338.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A267338.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 13 2016