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A231318 Number of (n+1) X (2+1) 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.

%I A231318 #6 Mar 02 2023 14:19:04
%S A231318 24,432,9600,192192,3917184,79306752,1607468544,32569451520,
%T A231318 659942375424,13371898245120,270945239064576,5489964932136960,
%U A231318 111239155883802624,2253957795356147712,45670301427851329536,925383976903713226752
%N A231318 Number of (n+1) X (2+1) 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.
%C A231318 Column 2 of A231324.
%H A231318 R. H. Hardin, <a href="/A231318/b231318.txt">Table of n, a(n) for n = 1..210</a>
%F A231318 Empirical: a(n) = 22*a(n-1) -776*a(n-3) +944*a(n-4) +7168*a(n-5) -12416*a(n-6) +9216*a(n-8) -4096*a(n-9).
%e A231318 Some solutions for n=4
%e A231318 ..0..1..0....0..0..1....0..0..0....0..1..0....0..1..0....0..0..0....0..0..0
%e A231318 ..0..1..2....0..2..1....1..2..1....0..1..1....2..2..0....1..2..0....1..1..1
%e A231318 ..0..0..0....2..1..1....2..0..0....1..2..0....1..0..2....2..1..2....2..2..2
%e A231318 ..1..0..0....2..0..0....2..1..1....2..0..2....1..1..2....2..0..0....0..2..0
%e A231318 ..2..2..1....2..0..1....2..2..2....2..1..2....2..2..0....2..2..2....1..1..0
%Y A231318 Cf. A231324.
%K A231318 nonn
%O A231318 1,1
%A A231318 _R. H. Hardin_, Nov 07 2013