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A196337 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 4,0,3,1,2 for x=0,1,2,3,4.

%I A196337 #7 Jun 02 2025 04:23:07
%S A196337 1,3,3,4,5,4,5,8,8,5,8,17,7,17,8,12,34,50,50,34,12,17,62,111,335,111,
%T A196337 62,17,25,123,259,894,894,259,123,25,37,243,744,3246,3793,3246,744,
%U A196337 243,37,54,471,1840,14973,25295,25295,14973,1840,471,54,79,924,4761,64423
%N A196337 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 4,0,3,1,2 for x=0,1,2,3,4.
%C A196337 Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 3's, every 3 is next to 3 1's, every 4 is next to 4 2's
%C A196337 Table starts
%C A196337 ..1...3.....4.......5........8.........12..........17............25
%C A196337 ..3...5.....8......17.......34.........62.........123...........243
%C A196337 ..4...8.....7......50......111........259.........744..........1840
%C A196337 ..5..17....50.....335......894.......3246.......14973.........64423
%C A196337 ..8..34...111.....894.....3793......25295......169152........868710
%C A196337 .12..62...259....3246....25295.....237905.....1783508......14742650
%C A196337 .17.123...744...14973...169152....1783508....20775275.....288083607
%C A196337 .25.243..1840...64423...868710...14742650...288083607....5845172493
%C A196337 .37.471..4761..270901..4661189..131257701..3804352736...96877056239
%C A196337 .54.924.12491.1067992.28620947.1161104389.45025949276.1661781001020
%H A196337 R. H. Hardin, <a href="/A196337/b196337.txt">Table of n, a(n) for n = 1..180</a>
%e A196337 Some solutions for n=6 k=4
%e A196337 ..1..1..0..0....1..3..1..0....0..1..1..0....0..1..1..0....1..3..1..0
%e A196337 ..0..3..1..1....0..1..3..1....0..1..1..0....1..3..1..0....0..1..3..0
%e A196337 ..0..1..1..1....0..1..3..1....0..1..1..0....1..3..1..0....1..3..1..0
%e A196337 ..1..3..0..0....0..3..1..0....0..1..3..0....0..1..3..0....1..3..1..0
%e A196337 ..1..1..0..0....0..1..3..1....0..3..1..1....1..3..1..0....0..1..3..0
%e A196337 ..0..1..1..1....1..1..0..1....1..1..0..1....1..0..1..1....0..1..1..0
%Y A196337 Column 1 is A179070(n+2)
%Y A196337 Column 2 is A196140
%K A196337 nonn,tabl
%O A196337 1,2
%A A196337 _R. H. Hardin_ Oct 01 2011