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A233069 Number of nX4 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 in row major order.

%I A233069 #6 Jul 23 2025 07:50:55
%S A233069 14,289,6854,164495,3957778,95264272,2293174089,55201144642,
%T A233069 1328800293991,31986846738550,769986578444547,18535097820450198,
%U A233069 446176415304028392,10740347610658418594,258541381485766745236
%N A233069 Number of nX4 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 in row major order.
%C A233069 Column 4 of A233073
%H A233069 R. H. Hardin, <a href="/A233069/b233069.txt">Table of n, a(n) for n = 1..210</a>
%F A233069 Empirical: a(n) = 30*a(n-1) -155*a(n-2) +312*a(n-3) -393*a(n-4) +247*a(n-5) +43*a(n-6) -112*a(n-7) +15*a(n-8) +22*a(n-9) -9*a(n-10) +a(n-11) for n>12
%e A233069 Some solutions for n=4
%e A233069 ..0..0..1..0....0..0..1..1....0..0..1..3....0..0..0..0....0..0..1..1
%e A233069 ..1..0..0..1....2..0..1..1....0..1..1..3....0..0..0..1....1..1..1..0
%e A233069 ..1..1..0..1....2..0..0..1....1..0..1..1....0..1..0..0....0..0..1..1
%e A233069 ..3..1..0..0....2..0..1..3....1..1..0..0....1..1..0..1....1..1..3..1
%K A233069 nonn
%O A233069 1,1
%A A233069 _R. H. Hardin_, Dec 03 2013