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A196282 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.

%I A196282 #7 Nov 17 2022 18:03:02
%S A196282 4,8,7,50,111,259,728,1800,4696,12185,32136,83679,217955,570882,
%T A196282 1489582,3896818,10200627,26688308,69841985,182768771,478336792,
%U A196282 1251948660,3276977630,8577766977,22452853682,58772743019,153844929073,402711226676
%N A196282 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 A196282 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 A196282 Column 3 of A196287.
%H A196282 R. H. Hardin, <a href="/A196282/b196282.txt">Table of n, a(n) for n = 1..200</a>
%F A196282 Empirical: a(n) = 3*a(n-1) -a(n-3) -5*a(n-4) +6*a(n-5) +2*a(n-6) -14*a(n-7) -63*a(n-8) -7*a(n-9) +88*a(n-10) +28*a(n-11) +122*a(n-12) -20*a(n-13) -48*a(n-14).
%e A196282 Some solutions for n=4
%e A196282 ..1..1..0....0..0..1....0..0..1....0..0..0....1..0..0....1..1..1....1..0..0
%e A196282 ..0..1..1....1..1..1....1..3..1....1..3..1....1..0..0....0..0..0....1..1..1
%e A196282 ..0..1..1....1..3..0....1..1..0....1..1..3....1..0..0....0..0..0....0..1..1
%e A196282 ..1..1..0....0..1..1....0..1..1....0..0..1....1..0..0....0..0..0....1..1..0
%Y A196282 Cf. A196287.
%K A196282 nonn
%O A196282 1,1
%A A196282 _R. H. Hardin_, Sep 30 2011