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

%I #9 Oct 03 2025 06:49:41

%S 1,1,13,99,833,6755,55546,454787,3731468,30604579,251081964,

%T 2059627509,16896121515,138603472792,1137015260752,9327306512795,

%U 76515112946927,627679210593852,5149066137888295,42239532621052491,346505218246823715

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

%C Every 0 is next to 0 1's, every 1 is next to 1 4's, every 2 is next to 2 3's, every 3 is next to 3 2's, every 4 is next to 4 0's

%C Column 7 of A196929

%H R. H. Hardin, <a href="/A196928/b196928.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

%e ..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0

%e ..0..0..0..0..0..4..0....0..4..0..0..4..0..0....0..0..0..4..0..4..0

%e ..0..4..0..0..4..0..0....0..0..4..0..0..0..0....0..0..0..0..4..0..0

%e ..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0

%K nonn

%O 1,3

%A _R. H. Hardin_, Oct 07 2011