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%I #4 Jan 02 2013 12:38:21
%S 1,3,1,8,21,1,21,200,144,1,55,1950,4872,987,1,144,19005,179300,118472,
%T 6765,1,377,185164,6405243,16436223,2880520,46368,1,987,1803949,
%U 229006550,2152770692,1506094707,70036168,317811,1,2584,17574675
%N T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor
%C Table starts
%C .1........3...........8.............21..............55.............144
%C .1.......21.........200...........1950...........19005..........185164
%C .1......144........4872.........179300.........6405243.......229006550
%C .1......987......118472.......16436223......2152770692....282454178707
%C .1.....6765.....2880520.....1506094707....723234356389.348270153038959
%C .1....46368....70036168...138001217828.242959402596630
%C .1...317811..1702839048.12644783009532
%C .1..2178309.41402332360
%C .1.14930352
%C .1
%H R. H. Hardin, <a href="/A221125/b221125.txt">Table of n, a(n) for n = 1..59</a>
%e Some solutions for n=3 k=4
%e ..1..1..2..0....2..1..1..0....2..0..2..0....2..1..1..0....1..2..0..0
%e ..0..2..2..0....0..1..2..1....1..1..1..1....0..1..2..0....0..2..2..0
%e ..1..1..0..2....0..0..2..2....0..3..1..0....0..2..3..0....0..1..4..0
%Y Column 2 is A033888
%Y Row 1 is A001906
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Jan 02 2013
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