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

%I #6 Aug 12 2016 06:54:01

%S 2,27,255,3527,51759,852932,14954188,273141379,5179064643,

%T 100829282975,2002465966258,40428770929803,827090165579327,

%U 17105221165373796,357027788626167770,7510894690703464379,159088048372227390425

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

%C Row 4 of A267546.

%H R. H. Hardin, <a href="/A267547/b267547.txt">Table of n, a(n) for n = 1..20</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A267546.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2016