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A222918 T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order 6

%I

%S 1,0,0,0,6,0,6,18,18,6,16,136,160,136,16,16,654,2952,2952,654,16,40,

%T 3972,17518,62336,17518,3972,40,280,21778,356398,1309863,1309863,

%U 356398,21778,280,768,127226,2118905,27663713,26742406,27663713,2118905,127226,768

%N T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order

%C Table starts

%C .....1........0..........0............6............16.............16

%C .....0........6.........18..........136...........654...........3972

%C .....0.......18........160.........2952.........17518.........356398

%C .....6......136.......2952........62336.......1309863.......27663713

%C ....16......654......17518......1309863......26742406.....2133576918

%C ....16.....3972.....356398.....27663713....2133576918...165904381397

%C ....40....21778....2118905....590514107...43875762623.13105585711754

%C ...280...127226...44960137..12759661261.3643286829221

%C ...768...727214..272872198.278866376604

%C ..1440..4237154.5911110630

%C ..3808.24617576

%C .16352

%H R. H. Hardin, <a href="/A222918/b222918.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=3 k=4

%e ..0..1..0..2....0..1..0..1....0..1..1..2....0..1..1..2....0..1..2..1

%e ..2..2..1..0....2..0..2..0....2..1..1..0....1..0..2..2....2..1..0..0

%e ..1..2..0..0....1..2..1..0....0..2..2..1....2..1..0..1....1..1..2..1

%Y Column 1 is A222884

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Mar 09 2013

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Last modified January 24 21:49 EST 2022. Contains 350565 sequences. (Running on oeis4.)