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A222986 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.

%I A222986 #6 Jul 23 2025 03:20:03
%S A222986 1,1,2,1,4,5,4,7,14,14,5,25,43,70,41,14,86,314,584,326,122,17,332,946,
%T A222986 4572,2903,1630,365,70,1172,10417,42607,68385,45718,8058,1094,89,4566,
%U A222986 36987,414907,601407,1037326,227569,40598,3281,326,16562,431995,4405097
%N A222986 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.
%C A222986 Table starts
%C A222986 .....1........1...........1..............4.................5
%C A222986 .....2........4...........7.............25................86
%C A222986 .....5.......14..........43............314...............946
%C A222986 ....14.......70.........584...........4572.............42607
%C A222986 ....41......326........2903..........68385............601407
%C A222986 ...122.....1630.......45718........1037326..........29158784
%C A222986 ...365.....8058......227569.......15904038.........433151066
%C A222986 ..1094....40598.....3706702......245900395.......21273422658
%C A222986 ..3281...204914....18721501.....3827698634......321537852228
%C A222986 ..9842..1041934...309335666....59908716776....15962124223493
%C A222986 .29525..5315674..1578160193...941887270541...243618393075038
%C A222986 .88574.27228710.26302908158.14864346253334.12191944518185381
%H A222986 R. H. Hardin, <a href="/A222986/b222986.txt">Table of n, a(n) for n = 1..159</a>
%e A222986 Some solutions for n=3 k=4
%e A222986 ..0..0..0..1....0..0..1..0....0..1..1..1....0..0..1..1....0..0..0..0
%e A222986 ..0..0..0..0....2..1..1..1....1..1..1..2....0..2..2..2....0..0..0..1
%e A222986 ..0..0..1..1....1..1..1..1....1..1..1..2....2..2..2..2....0..1..1..1
%Y A222986 Column 1 is A007051(n-1)
%Y A222986 Row 1 is A222364
%K A222986 nonn,tabl
%O A222986 1,3
%A A222986 _R. H. Hardin_ Mar 11 2013