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A199647 T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order and each element equal to one or two horizontal and vertical neighbors.

%I A199647 #7 Jul 22 2025 13:21:28
%S A199647 0,1,1,1,3,1,2,13,13,2,3,60,112,60,3,6,288,1265,1265,288,6,11,1384,
%T A199647 12748,29229,12748,1384,11,22,6628,134748,658770,658770,134748,6628,
%U A199647 22,43,31772,1396083,15066222,32177372,15066222,1396083,31772,43,86,152304
%N A199647 T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order and each element equal to one or two horizontal and vertical neighbors.
%C A199647 Table starts
%C A199647 ..0......1..........1.............2................3..................6
%C A199647 ..1......3.........13............60..............288...............1384
%C A199647 ..1.....13........112..........1265............12748.............134748
%C A199647 ..2.....60.......1265.........29229...........658770...........15066222
%C A199647 ..3....288......12748........658770.........32177372.........1614250077
%C A199647 ..6...1384.....134748......15066222.......1614250077.......176701683386
%C A199647 .11...6628....1396083.....342328663......80053957248.....19161971644783
%C A199647 .22..31772...14584050....7797114144....3988024796446...2085499380111100
%C A199647 .43.152304..151837464..177447181083..198328767139736.226676302441401393
%C A199647 .86.730036.1582988477.4039488090307.9869645990489747
%H A199647 R. H. Hardin, <a href="/A199647/b199647.txt">Table of n, a(n) for n = 1..112</a>
%e A199647 Some solutions for n=5 k=3
%e A199647 ..0..0..0....0..1..1....0..0..1....0..0..1....0..1..1....0..1..1....0..0..0
%e A199647 ..1..1..0....0..2..2....2..2..1....0..1..1....0..0..1....0..2..2....1..2..2
%e A199647 ..0..0..2....1..0..2....0..0..2....1..2..2....2..1..1....0..0..2....1..2..0
%e A199647 ..0..1..2....1..0..0....1..1..2....1..2..1....2..2..0....2..1..1....1..1..0
%e A199647 ..0..1..1....2..2..2....2..2..2....2..2..1....0..0..0....2..1..1....2..2..0
%Y A199647 Column 1 is A005578(n-2)
%K A199647 nonn,tabl
%O A199647 1,5
%A A199647 _R. H. Hardin_ Nov 08 2011