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Number of 6Xn arrays containing n copies of 0..6-1 with every element equal to or 1 greater than any north, west or southwest neighbors modulo 6 and the upper left element equal to 0.
0

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

%S 1,1,2,2,4,135,2192,18140,96291,401459,1594603,7089502,45031108,

%T 518872408,7088206956,81255284697,741934496544

%N Number of 6Xn arrays containing n copies of 0..6-1 with every element equal to or 1 greater than any north, west or southwest neighbors modulo 6 and the upper left element equal to 0.

%C Row 6 of A267338.

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A267338.

%K nonn

%O 1,3

%A _R. H. Hardin_, Jan 13 2016