%I #7 Nov 17 2022 18:03:02
%S 4,8,7,50,111,259,728,1800,4696,12185,32136,83679,217955,570882,
%T 1489582,3896818,10200627,26688308,69841985,182768771,478336792,
%U 1251948660,3276977630,8577766977,22452853682,58772743019,153844929073,402711226676
%N Number of n X 3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,3,1,4 for x=0,1,2,3,4.
%C Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 3's, every 3 is next to 3 1's, every 4 is next to 4 4's.
%C Column 3 of A196287.
%H R. H. Hardin, <a href="/A196282/b196282.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 3*a(n1) a(n3) 5*a(n4) +6*a(n5) +2*a(n6) 14*a(n7) 63*a(n8) 7*a(n9) +88*a(n10) +28*a(n11) +122*a(n12) 20*a(n13) 48*a(n14).
%e Some solutions for n=4
%e ..1..1..0....0..0..1....0..0..1....0..0..0....1..0..0....1..1..1....1..0..0
%e ..0..1..1....1..1..1....1..3..1....1..3..1....1..0..0....0..0..0....1..1..1
%e ..0..1..1....1..3..0....1..1..0....1..1..3....1..0..0....0..0..0....0..1..1
%e ..1..1..0....0..1..1....0..1..1....0..0..1....1..0..0....0..0..0....1..1..0
%Y Cf. A196287.
%K nonn
%O 1,1
%A _R. H. Hardin_, Sep 30 2011
