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A222828 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order.

%I A222828 #6 Jul 23 2025 03:07:02
%S A222828 1,1,1,2,8,2,11,80,80,11,34,1154,2695,1154,34,131,14388,163059,163059,
%T A222828 14388,131,438,200082,4990235,23664739,4990235,200082,438,2150,
%U A222828 2652496,324288311,3489313607,3489313607,324288311,2652496,2150,7676,36622104
%N A222828 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order.
%C A222828 Table starts
%C A222828 .....1.........1............2.............11..............34.............131
%C A222828 .....1.........8...........80...........1154...........14388..........200082
%C A222828 .....2........80.........2695.........163059.........4990235.......324288311
%C A222828 ....11......1154.......163059.......23664739......3489313607....520160675223
%C A222828 ....34.....14388......4990235.....3489313607...1138373246058.835207158093802
%C A222828 ...131....200082....324288311...520160675223.835207158093802
%C A222828 ...438...2652496..10170499564.78214529020708
%C A222828 ..2150..36622104.674288738013
%C A222828 ..7676.498427856
%C A222828 .32491
%H A222828 R. H. Hardin, <a href="/A222828/b222828.txt">Table of n, a(n) for n = 1..60</a>
%e A222828 Some solutions for n=3 k=4
%e A222828 ..0..1..0..2....0..1..2..1....0..1..1..2....0..0..1..0....0..0..1..0
%e A222828 ..2..0..3..3....2..0..0..2....0..2..3..1....2..0..0..1....1..0..2..3
%e A222828 ..2..1..0..2....1..2..2..1....3..0..1..2....1..2..0..2....1..0..1..0
%Y A222828 Column 1 is A222650
%K A222828 nonn,tabl
%O A222828 1,4
%A A222828 _R. H. Hardin_ Mar 06 2013