%I #4 Jan 14 2013 05:21:43
%S 0,0,0,0,0,0,0,1,0,0,0,7,4,0,0,0,38,94,13,0,0,0,190,1450,1198,40,0,0,
%T 0,918,20689,52320,15181,121,0,0,0,4367,284702,2204556,1829388,191832,
%U 364,0,0,0,20623,3856027,86673898,229338911,63358088,2420113,1093,0,0,0
%N T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no 2-loops and with no occupancy greater than 2
%C Table starts
%C .0.0....0........0...........0...............0..................0
%C .0.0....1........7..........38.............190................918
%C .0.0....4.......94........1450...........20689.............284702
%C .0.0...13.....1198.......52320.........2204556...........86673898
%C .0.0...40....15181.....1829388.......229338911........25415184702
%C .0.0..121...191832....63358088.....23796035743......7392392443622
%C .0.0..364..2420113..2188482014...2468313810280...2142967506078650
%C .0.0.1093.30504742.75538637214.256018996534929.620488065801083664
%H R. H. Hardin, <a href="/A221388/b221388.txt">Table of n, a(n) for n = 1..127</a>
%e Some solutions for n=3 k=4
%e ..0..2..2..1....0..2..2..0....0..2..2..1....0..2..2..0....0..2..1..0
%e ..0..1..2..0....1..2..0..1....1..2..1..0....0..2..2..0....1..2..1..1
%e ..0..2..2..0....1..1..2..0....0..1..2..0....1..2..1..0....1..1..2..0
%Y Column 3 is A003462(n-1)
%Y Row 2 is A217340(n-1)
%K nonn,tabl
%O 1,12
%A _R. H. Hardin_ Jan 14 2013
|