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T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops
11

%I #4 Jan 02 2013 12:04:41

%S 0,0,0,0,0,0,0,1,0,0,0,7,8,0,0,0,38,178,51,0,0,0,190,2952,3706,304,0,

%T 0,0,918,45842,189762,73267,1769,0,0,0,4367,693362,9107191,11678172,

%U 1424745,10200,0,0,0,20623,10369358,423897591,1734890879,709142453,27551817

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

%C Table starts

%C .0.0........0............0...............0.................0.................0

%C .0.0........1............7..............38...............190...............918

%C .0.0........8..........178............2952.............45842............693362

%C .0.0.......51.........3706..........189762...........9107191.........423897591

%C .0.0......304........73267........11678172........1734890879......247812858484

%C .0.0.....1769......1424745.......709142453......326416281638...143089274586815

%C .0.0....10200.....27551817.....42873095694....61164981824003.82293038769560932

%C .0.0....58603....531785885...2588202786224.11445464707934974

%C .0.0...336224..10257442136.156169886336266

%C .0.0..1927953.197807790635

%C .0.0.11052712

%C .0.0

%H R. H. Hardin, <a href="/A221114/b221114.txt">Table of n, a(n) for n = 1..96</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 3 is A153594(n-1)

%Y Row 2 is A217340(n-1)

%K nonn,tabl

%O 1,12

%A _R. H. Hardin_ Jan 02 2013

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Last modified September 22 07:30 EDT 2024. Contains 376097 sequences. (Running on oeis4.)