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A196146 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,0,4,1,2 for x=0,1,2,3,4.

%I A196146 #7 Jun 02 2025 04:18:28
%S A196146 1,3,3,4,5,4,5,8,8,5,8,17,7,17,8,12,34,26,26,34,12,17,62,49,83,49,62,
%T A196146 17,25,123,85,168,168,85,123,25,37,243,178,346,481,346,178,243,37,54,
%U A196146 471,348,865,1031,1031,865,348,471,54,79,924,683,2055,2781,2599,2781,2055
%N A196146 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,0,4,1,2 for x=0,1,2,3,4.
%C A196146 Every 0 is next to 0 3's, every 1 is next to 1 0's, every 2 is next to 2 4's, every 3 is next to 3 1's, every 4 is next to 4 2's
%C A196146 Table starts
%C A196146 ..1...3....4.....5.....8.....12.....17......25.......37.......54........79
%C A196146 ..3...5....8....17....34.....62....123.....243......471......924......1817
%C A196146 ..4...8....7....26....49.....85....178.....348......683.....1349......2688
%C A196146 ..5..17...26....83...168....346....865....2055.....4745....10866.....24967
%C A196146 ..8..34...49...168...481...1031...2781....7666....19581....50767....133067
%C A196146 .12..62...85...346..1031...2599...7486...22292....61689...177057....510032
%C A196146 .17.123..178...865..2781...7486..24615...85533...266059...866323...2817802
%C A196146 .25.243..348..2055..7666..22292..85533..330889..1154587..4208560..15450981
%C A196146 .37.471..683..4745.19581..61689.266059.1154587..4431097.17980473..73718035
%C A196146 .54.924.1349.10866.50767.177057.866323.4208560.17980473.82611569.381145071
%H A196146 R. H. Hardin, <a href="/A196146/b196146.txt">Table of n, a(n) for n = 1..312</a>
%e A196146 Some solutions for n=6 k=4
%e A196146 .0.1.1.0...0.1.1.0...1.1.0.1...0.1.1.0...1.0.1.1
%e A196146 .1.3.1.0...0.1.1.0...0.1.1.1...0.1.1.0...1.1.1.0
%e A196146 .1.3.1.0...1.3.1.0...0.1.1.0...0.1.3.1...0.1.3.1
%e A196146 .0.1.1.0...1.3.1.0...0.1.1.0...0.1.3.1...0.1.3.1
%e A196146 .0.1.1.0...0.1.1.0...1.1.1.1...1.1.1.0...0.1.1.0
%e A196146 .1.3.1.0...1.3.1.0...1.0.0.1...1.0.1.1...1.3.1.0
%Y A196146 Column 1 is A179070(n+2)
%K A196146 nonn,tabl
%O A196146 1,2
%A A196146 _R. H. Hardin_ Sep 28 2011