A267619 - OEIS

A267619

Number of 3 X n arrays containing n copies of 0..3-1 with every element equal to at least one horizontal or antidiagonal neighbor and the top left element equal to 0.

%I #8 Mar 26 2023 10:21:57

%S 0,2,8,42,576,5492,68958,814418,9982880,122186774,1509756240,

%T 18739734568,233756282022,2928054874344,36812296612552,

%U 464358008157458,5874864170778700,74526122250575078,947703833383753558

%N Number of 3 X n arrays containing n copies of 0..3-1 with every element equal to at least one horizontal or antidiagonal neighbor and the top left element equal to 0.

%C Row 3 of A267617.

%H R. H. Hardin, <a href="/A267619/b267619.txt">Table of n, a(n) for n = 1..43</a>

%e Some solutions for n=4

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

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

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

%Y Cf. A267617.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 18 2016