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A197245 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,0,1,1,1 for x=0,1,2,3,4.

%I A197245 #7 Jun 02 2025 04:48:29
%S A197245 1,8,3,53,110,227,1035,2004,7529,20633,53902,172997,474139,1395792,
%T A197245 4009631,11336881,33563326,95906965,275694011,796470870,2294495057,
%U A197245 6647188965,19110664400,55033208033,159018294491,458707454692
%N A197245 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,0,1,1,1 for x=0,1,2,3,4.
%C A197245 Every 0 is next to 0 0's, every 1 is next to 1 0's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1's
%C A197245 Column 3 of A197250
%H A197245 R. H. Hardin, <a href="/A197245/b197245.txt">Table of n, a(n) for n = 1..200</a>
%F A197245 Empirical: a(n) = a(n-2) +9*a(n-3) +26*a(n-4) +58*a(n-5) -25*a(n-6) -148*a(n-7) -104*a(n-8) -114*a(n-9) +55*a(n-10) -149*a(n-11) +186*a(n-12) -9*a(n-13) +39*a(n-14) -55*a(n-15) +21*a(n-16) +a(n-17) +2*a(n-18) -a(n-19) for n>20
%e A197245 Some solutions for n=4
%e A197245 ..1..0..1....1..0..1....1..0..1....1..0..1....1..0..1....1..1..0....1..0..1
%e A197245 ..2..2..1....3..1..2....1..2..2....2..2..1....2..1..3....0..2..1....2..1..3
%e A197245 ..1..1..0....1..1..0....0..1..1....1..1..0....0..1..1....1..3..1....0..1..1
%e A197245 ..0..2..1....0..2..1....1..2..0....0..1..1....1..2..0....2..1..0....1..1..0
%K A197245 nonn
%O A197245 1,2
%A A197245 _R. H. Hardin_ Oct 12 2011