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A196209 Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,3,4,1 for x=0,1,2,3,4.

%I A196209 #7 Jun 02 2025 04:18:49
%S A196209 17,43,42,305,751,2922,10986,35529,128823,472599,1687338,6179264,
%T A196209 22255717,79844666,288974977,1050069655,3810469340,13776469497,
%U A196209 49876710085,180636295947,654371189198,2372238997568,8596886259187
%N A196209 Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,3,4,1 for x=0,1,2,3,4.
%C A196209 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 4's, every 4 is next to 4 1's
%C A196209 Column 7 of A196210
%H A196209 R. H. Hardin, <a href="/A196209/b196209.txt">Table of n, a(n) for n = 1..200</a>
%e A196209 Some solutions for n=4
%e A196209 ..1..0..0..1..1..0..0....0..1..1..0..0..0..0....0..1..1..0..1..1..0
%e A196209 ..1..1..1..4..1..0..0....0..1..4..1..1..1..1....1..4..1..0..1..1..0
%e A196209 ..0..1..4..1..1..0..0....1..1..1..1..1..1..1....1..1..4..1..1..1..1
%e A196209 ..0..1..1..0..1..1..1....1..0..0..0..0..0..0....0..0..1..1..0..0..1
%K A196209 nonn
%O A196209 1,1
%A A196209 _R. H. Hardin_ Sep 29 2011