%I #7 May 10 2023 07:52:13

%S 14,1094,79092,5800644,424785708,31112194860,2278687944204,

%T 166893600277548,12223468411103052,895260103173464940,

%U 65569822288888377996,4802404999579303113900,351733358040572021645772

%N Number of 4 X n 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.

%C Row 4 of A208392.

%H R. H. Hardin, <a href="/A208395/b208395.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 61*a(n-1) +868*a(n-2) +2200*a(n-3) -7744*a(n-4) -17728*a(n-5) +40704*a(n-6) -13824*a(n-7) for n>9.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A208392.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 25 2012