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A209014 Number of n X 3 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it.

%I A209014 #7 Mar 09 2023 15:41:43
%S A209014 36,1430,57412,2303052,92409982,3707858104,148774643618,5969451726624,
%T A209014 239519039453858,9610491871316864,385612583729466606,
%U A209014 15472367675895217344,620815222721162751908,24909667900333112532040
%N A209014 Number of n X 3 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it.
%C A209014 Column 3 of A209019.
%H A209014 R. H. Hardin, <a href="/A209014/b209014.txt">Table of n, a(n) for n = 1..210</a>
%F A209014 Empirical: a(n) = 30*a(n-1) +507*a(n-2) -3690*a(n-3) -16906*a(n-4) +106528*a(n-5) +124733*a(n-6) -1050424*a(n-7) +577820*a(n-8) +3131188*a(n-9) -4615763*a(n-10) -850984*a(n-11) +5888706*a(n-12) -4406256*a(n-13) +1242404*a(n-14) -133476*a(n-15) +1080*a(n-16) +864*a(n-17).
%e A209014 Some solutions for n=4
%e A209014 ..3..1..2....3..2..3....0..1..3....3..1..2....0..2..0....1..0..2....1..2..0
%e A209014 ..1..3..3....0..2..3....2..3..1....1..3..3....3..0..0....3..2..1....3..3..3
%e A209014 ..3..1..3....3..0..1....1..3..0....3..0..1....2..1..1....1..0..3....0..0..0
%e A209014 ..1..3..3....2..3..2....2..0..0....1..1..1....0..2..1....3..0..2....2..1..3
%Y A209014 Cf. A209019.
%K A209014 nonn
%O A209014 1,1
%A A209014 _R. H. Hardin_, Mar 04 2012