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Number of 4Xn arrays containing n copies of 0..4-1 with no element 1 greater than its north, west, northwest or southwest neighbor modulo 4 and the upper left element equal to 0.
1

%I #6 Aug 12 2016 06:53:59

%S 2,1,16,133,1236,15125,214140,3105224,45305350,742969929,11800248904,

%T 201592461569,3280672926610,56851823849846,940874482142408,

%U 16397055755822665,274499001396453994,4794895592704971110

%N Number of 4Xn arrays containing n copies of 0..4-1 with no element 1 greater than its north, west, northwest or southwest neighbor modulo 4 and the upper left element equal to 0.

%C Row 4 of A266825.

%H R. H. Hardin, <a href="/A266827/b266827.txt">Table of n, a(n) for n = 1..21</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A266825.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 04 2016