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Number of nX4 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor
2

%I #5 Mar 31 2012 12:36:35

%S 5,499,232841,173549032,141168480719,116492275674072,

%T 96356630422085931,79732515488691835557,65980773070548173552412,

%U 54601426682639992758644080,45184694908666112938858073903,37392013011256643009627621268829

%N Number of nX4 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor

%C Column 4 of A198723

%H R. H. Hardin, <a href="/A198719/b198719.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 1081*a(n-1) -231028*a(n-2) +18466747*a(n-3) -729356901*a(n-4) +16017483310*a(n-5) -207602672167*a(n-6) +1633653422655*a(n-7) -7862297151184*a(n-8) +22902587520657*a(n-9) -39383752489643*a(n-10) +38480449661142*a(n-11) -19517387256516*a(n-12) +3939042601848*a(n-13)

%e Some solutions with all values 0 to 6 for n=5

%e ..0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1

%e ..1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 29 2011