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Number of 7Xn arrays containing n copies of 0..7-1 with every element equal to or 1 greater than any north or west neighbors modulo 7 and the upper left element equal to 0.
0

%I #5 Aug 12 2016 06:54:17

%S 1,2,5,15,67,457,9204,586844,36708187,1582675968,49970797654,

%T 1250823466190

%N Number of 7Xn arrays containing n copies of 0..7-1 with every element equal to or 1 greater than any north or west neighbors modulo 7 and the upper left element equal to 0.

%C Row 7 of A268115.

%e Some solutions for n=8

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

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

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

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

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

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

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

%Y Cf. A268115.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 26 2016