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A209498 Number of nX3 0..4 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..4 introduced in row major order.

%I A209498 #9 Jul 22 2025 21:45:54
%S A209498 5,57,1938,78135,3268686,137627625,5801378991,244591579065,
%T A209498 10312560758853,434804544586449,18332515897436133,772947757887140085,
%U A209498 32589539696259731973,1374061949636494558605,57934118148061257233025
%N A209498 Number of nX3 0..4 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..4 introduced in row major order.
%C A209498 Column 3 of A209503
%H A209498 R. H. Hardin, <a href="/A209498/b209498.txt">Table of n, a(n) for n = 1..210</a>
%F A209498 Empirical: a(n) = 52*a(n-1) -388*a(n-2) -1564*a(n-3) +19075*a(n-4) -29776*a(n-5) -22290*a(n-6) +50544*a(n-7) -5832*a(n-8) for n>9
%e A209498 Some.solutions.for.n=4
%e A209498 ..0..0..1....0..1..2....0..0..0....0..1..0....0..1..0....0..1..2....0..1..1
%e A209498 ..2..3..3....2..1..3....1..2..3....2..1..2....2..2..2....0..3..3....0..2..0
%e A209498 ..4..2..1....1..4..1....0..1..2....3..1..0....3..0..1....0..4..0....1..1..2
%e A209498 ..2..0..1....3..1..2....1..3..3....3..2..1....2..2..0....2..4..1....2..0..2
%K A209498 nonn
%O A209498 1,1
%A A209498 _R. H. Hardin_ Mar 09 2012