A221240 - OEIS

%I #4 Jan 06 2013 05:14:17

%S 0,0,0,0,5,0,0,53,53,0,0,467,1979,467,0,0,3913,67710,67710,3913,0,0,

%T 32299,2217402,8959341,2217402,32299,0,0,265353,71862107,1130617545,

%U 1130617545,71862107,265353,0,0,2176758,2319920239,141336723259

%N T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, without 2-loops

%C Table starts

%C .0........0...........0..............0...............0...............0

%C .0........5..........53............467............3913...........32299

%C .0.......53........1979..........67710.........2217402........71862107

%C .0......467.......67710........8959341......1130617545....141336723259

%C .0.....3913.....2217402.....1130617545....543708183481.258758829845879

%C .0....32299....71862107...141336723259.258758829845879

%C .0...265353..2319920239.17607272065860

%C .0..2176758.74798189113

%C .0.17847997

%C .0

%H R. H. Hardin, <a href="/A221240/b221240.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=3 k=4

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

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

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

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Jan 06 2013