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A217547 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..2 nXk array.

%I A217547 #6 Jul 22 2025 23:40:57
%S A217547 3,3,3,9,3,9,17,9,9,17,37,17,81,17,37,77,37,289,289,37,77,163,77,1369,
%T A217547 1401,1369,77,163,343,163,5929,10213,10213,5929,163,343,723,343,26569,
%U A217547 64473,128051,64473,26569,343,723,1523,723,117649,431241,1342855,1342855
%N A217547 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..2 nXk array.
%C A217547 Table starts
%C A217547 ....3....3........9.........17............37.............77.............163
%C A217547 ....3....3........9.........17............37.............77.............163
%C A217547 ....9....9.......81........289..........1369...........5929...........26569
%C A217547 ...17...17......289.......1401.........10213..........64473..........431241
%C A217547 ...37...37.....1369......10213........128051........1342855........15130953
%C A217547 ...77...77.....5929......64473.......1342855.......22263471.......404884061
%C A217547 ..163..163....26569.....431241......15130953......404884061.....12094757481
%C A217547 ..343..343...117649....2824177.....166010145.....7113718205....346695485697
%C A217547 ..723..723...522729...18626981....1837220123...126448240507..10077786323603
%C A217547 .1523.1523..2319529..122511585...20265096203..2237636413927.291384560664827
%C A217547 .3209.3209.10297681..806649933..223831206295.39669951994791
%C A217547 .6761.6761.45711121.5309370017.2471187319639
%H A217547 R. H. Hardin, <a href="/A217547/b217547.txt">Table of n, a(n) for n = 1..144</a>
%e A217547 Some solutions for n=3 k=4
%e A217547 ..2..0..0..0....0..0..2..2....2..2..0..0....0..0..0..2....1..1..1..2
%e A217547 ..1..0..0..0....0..0..0..1....1..1..0..0....0..0..0..1....0..0..0..0
%e A217547 ..1..1..1..2....0..0..0..1....1..1..1..2....0..0..1..1....0..0..0..0
%Y A217547 Columns 1 and 2 are A217450
%Y A217547 Column 3 is A207854(n-1) = A217450^2
%K A217547 nonn,tabl
%O A217547 1,1
%A A217547 _R. H. Hardin_ Oct 06 2012