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A222328 T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order.

%I A222328 #6 Jul 23 2025 02:30:03
%S A222328 1,0,0,0,0,0,3,0,0,3,4,7,4,7,4,4,0,19,19,0,4,5,32,0,52,0,32,5,20,0,84,
%T A222328 165,165,84,0,20,27,168,212,835,674,835,212,168,27,48,0,1366,3307,
%U A222328 3770,3770,3307,1366,0,48,63,948,1302,14419,15100,38238,15100,14419,1302,948
%N A222328 T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order.
%C A222328 Table starts
%C A222328 ...1....0......0.......3.........4...........4............5.............20
%C A222328 ...0....0......0.......7.........0..........32............0............168
%C A222328 ...0....0......4......19.........0..........84..........212...........1366
%C A222328 ...3....7.....19......52.......165.........835.........3307..........14419
%C A222328 ...4....0......0.....165.......674........3770........15100.........172590
%C A222328 ...4...32.....84.....835......3770.......38238.......255304........2542901
%C A222328 ...5....0....212....3307.....15100......255304......2284728.......37484794
%C A222328 ..20..168...1366...14419....172590.....2542901.....37484794......620488671
%C A222328 ..27....0...1302...66213....759758....20957580....318665044....10589084713
%C A222328 ..48..948..11152..302731...6657106...204487984...5848569858...186293287066
%C A222328 ..63....0..21206.1350601..30994294..1778907664..53774145449..3354992092851
%C A222328 .175.5279.132937.6283864.298933498.17205177010.993959061317.61359735913289
%H A222328 R. H. Hardin, <a href="/A222328/b222328.txt">Table of n, a(n) for n = 1..199</a>
%e A222328 Some solutions for n=4 k=4
%e A222328 ..0..0..0..0....0..0..0..1....0..1..1..1....0..0..0..0....0..1..1..1
%e A222328 ..1..0..0..0....0..0..0..0....0..1..1..1....0..0..0..0....1..1..1..1
%e A222328 ..1..0..0..0....0..0..0..0....1..1..1..1....0..0..0..0....0..1..1..1
%e A222328 ..0..0..0..0....1..0..0..0....0..1..1..1....0..1..0..1....1..1..1..1
%Y A222328 Column 1 is A222283
%K A222328 nonn,tabl
%O A222328 1,7
%A A222328 _R. H. Hardin_ Feb 15 2013