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Number of (n+1)Xn arrays containing n copies of 0..n+1-1 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.
0

%I #5 Aug 12 2016 06:54:00

%S 1,1,2,2,4,9,24,89,594,4086,39921

%N Number of (n+1)Xn arrays containing n copies of 0..n+1-1 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 Subdiagonal 1 of A267338.

%e Some solutions for n=7

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

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

%e ..2..2..3..4..5..6..7....0..0..1..2..3..4..5....2..3..3..4..5..6..7

%e ..2..3..4..5..6..7..0....0..1..2..3..4..5..6....2..3..4..5..6..7..0

%e ..3..4..5..6..7..0..1....1..2..3..4..5..6..7....3..4..5..6..7..0..1

%e ..4..5..6..7..0..1..1....2..3..4..5..6..6..7....4..5..6..7..0..1..2

%e ..5..6..7..0..0..1..2....3..4..5..6..6..7..7....5..6..7..0..0..1..2

%e ..6..7..7..0..1..2..3....4..5..5..6..7..7..7....6..7..7..0..1..1..2

%Y Cf. A267338.

%K nonn

%O 1,3

%A _R. H. Hardin_, Jan 13 2016