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

%I #8 Nov 16 2021 21:36:35

%S 2,22,322,5826,116602,2507350,56777970,1336707816,32440959218,

%T 806165939746,20420782541546,525394022266716,13694383648911264,

%U 360867862158985262,9598740400829938584,257384054278121562390

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

%C Row 4 of A266886.

%H R. H. Hardin, <a href="/A266888/b266888.txt">Table of n, a(n) for n = 1..19</a>

%e Some solutions for n=5

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

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

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

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

%Y Cf. A266886.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2016