%I #5 Jan 05 2013 08:26:19
%S 0,1,1,2,14,2,4,119,119,4,8,852,2372,852,8,16,6360,54075,54075,6360,
%T 16,32,47334,1211716,3618339,1211716,47334,32,64,351402,27341781,
%U 245539157,245539157,27341781,351402,64,128,2609499,616856209,16783348483
%N T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2
%C Table starts
%C ...0........1...........2.............4..............8.............16
%C ...1.......14.........119...........852...........6360..........47334
%C ...2......119........2372.........54075........1211716.......27341781
%C ...4......852.......54075.......3618339......245539157....16783348483
%C ...8.....6360.....1211716.....245539157....50220166341.10357727346177
%C ..16....47334....27341781...16783348483.10357727346177
%C ..32...351402...616856209.1149649557942
%C ..64..2609499.13916105891
%C .128.19373481
%C .256
%H R. H. Hardin, <a href="/A221234/b221234.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for n=3 k=4
%e ..0..1..1..0....0..1..0..1....0..0..0..0....1..1..1..0....2..0..1..1
%e ..0..1..2..0....1..0..1..1....2..2..0..2....0..2..1..2....1..1..1..1
%e ..1..2..2..2....2..2..1..2....0..2..2..2....1..0..2..1....0..2..1..1
%K nonn,tabl
%O 1,4
%A _R. H. Hardin_ Jan 05 2013
|