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T(n,k)=Number of nXk arrays of occupancy after each element moves to some king-move neighbor
4

%I #4 Jan 04 2013 06:52:17

%S 0,1,1,2,31,2,4,318,318,4,8,3605,12542,3605,8,16,39851,577414,577414,

%T 39851,16,32,441912,25530633,106838218,25530633,441912,32,64,4896043,

%U 1136389329,19002899459,19002899459,1136389329,4896043,64,128,54248371

%N T(n,k)=Number of nXk arrays of occupancy after each element moves to some king-move neighbor

%C Table starts

%C ...0........1...........2.............4..............8............16

%C ...1.......31.........318..........3605..........39851........441912

%C ...2......318.......12542........577414.......25530633....1136389329

%C ...4.....3605......577414.....106838218....19002899459.3397426494884

%C ...8....39851....25530633...19002899459.13471155426022

%C ..16...441912..1136389329.3397426494884

%C ..32..4896043.50496693142

%C ..64.54248371

%C .128

%H R. H. Hardin, <a href="/A221192/b221192.txt">Table of n, a(n) for n = 1..49</a>

%e Some solutions for n=3 k=4

%e ..0..0..1..2....0..2..0..2....0..2..4..1....0..0..0..1....0..0..1..0

%e ..1..2..5..0....1..0..4..0....2..0..0..0....2..2..2..3....1..4..3..0

%e ..0..1..0..0....0..0..1..2....0..2..1..0....0..1..0..1....0..3..0..0

%K nonn,tabl

%O 1,4

%A _R. H. Hardin_ Jan 04 2013