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A222649 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order.

%I A222649 #6 Jul 23 2025 02:52:08
%S A222649 1,1,1,1,1,1,4,3,3,4,5,12,5,12,5,14,38,61,61,38,14,17,124,157,457,157,
%T A222649 124,17,70,430,1972,3411,3411,1972,430,70,89,1530,5625,31487,25724,
%U A222649 31487,5625,1530,89,326,5378,66494,317655,640355,640355,317655,66494,5378,326
%N A222649 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order.
%C A222649 Table starts
%C A222649 ....1......1........1...........4..............5..............14
%C A222649 ....1......1........3..........12.............38.............124
%C A222649 ....1......3........5..........61............157............1972
%C A222649 ....4.....12.......61.........457...........3411...........31487
%C A222649 ....5.....38......157........3411..........25724..........640355
%C A222649 ...14....124.....1972.......31487.........640355........14332759
%C A222649 ...17....430.....5625......317655........5969486.......368332772
%C A222649 ...70...1530....66494.....3161392......171452513.....10043940772
%C A222649 ...89...5378...199913....31436637.....1679184332....284244110551
%C A222649 ..326..18938..2287282...315944445....49651101137...8226667384808
%C A222649 ..413..67042..7139249..3182997999...492598252164.241133356688912
%C A222649 .1630.238446.79717242.32059374557.14686568899907
%H A222649 R. H. Hardin, <a href="/A222649/b222649.txt">Table of n, a(n) for n = 1..144</a>
%e A222649 Some solutions for n=3 k=4
%e A222649 ..0..1..0..0....0..0..0..0....0..0..0..1....0..0..1..1....0..0..0..0
%e A222649 ..1..0..0..0....0..0..0..1....0..0..0..0....1..1..1..1....0..0..0..0
%e A222649 ..0..0..0..0....0..0..1..2....0..0..0..1....1..1..1..1....0..1..0..0
%Y A222649 Column 1 is A222364
%K A222649 nonn,tabl
%O A222649 1,7
%A A222649 _R. H. Hardin_ Feb 27 2013