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A221234 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 5

%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

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Last modified November 29 20:12 EST 2023. Contains 367447 sequences. (Running on oeis4.)