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%I #4 Feb 07 2013 05:45:18
%S 1,3,3,8,31,8,21,306,308,21,55,3014,11698,3034,55,144,29671,439644,
%T 439979,29860,144,377,292017,16509768,62776264,16518325,293848,377,
%U 987,2873693,619931605,8938090933,8936245171,620167586,2891636,987,2584
%N T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, without move-in move-out left turns
%C Table starts
%C ....1.........3............8..............21...............55..............144
%C ....3........31..........306............3014............29671...........292017
%C ....8.......308........11698..........439644.........16509768........619931605
%C ...21......3034.......439979........62776264.......8938090933....1272224461900
%C ...55.....29860.....16518325......8936245171....4815375485520.2592572243795538
%C ..144....293848....620167586...1271770432077.2592139704947730
%C ..377...2891636..23285438194.181000238870646
%C ..987..28455036.874320487561
%C .2584.280009384
%C .6765
%H R. H. Hardin, <a href="/A222093/b222093.txt">Table of n, a(n) for n = 1..59</a>
%e Some solutions for n=3 k=4
%e ..0..3..2..0....0..2..0..1....0..0..1..0....0..4..0..0....0..2..2..0
%e ..1..0..3..1....0..3..0..2....1..1..3..3....0..2..1..2....0..2..0..1
%e ..0..1..1..0....0..1..0..3....2..0..0..1....0..1..0..2....0..4..1..0
%Y Column and row 1 are A001906
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Feb 07 2013