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 A221165 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor 4

%I #4 Jan 03 2013 09:40:53

%S 1,3,3,8,33,8,21,352,352,21,55,3721,14704,3721,55,144,39254,609961,

%T 609961,39254,144,377,413908,25266305,98570764,25266305,413908,377,

%U 987,4363921,1046229704,15891102336,15891102336,1046229704,4363921,987,2584

%N T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor

%C Table starts

%C ....1.........3.............8..............21...............55..............144

%C ....3........33...........352............3721............39254...........413908

%C ....8.......352.........14704..........609961.........25266305.......1046229704

%C ...21......3721........609961........98570764......15891102336....2560795894232

%C ...55.....39254......25266305.....15891102336....9939389451855.6208776036030698

%C ..144....413908....1046229704...2560795894232.6208776036030698

%C ..377...4363921...43318295565.412629557874937

%C ..987..46008619.1793512771275

%C .2584.485064009

%C .6765

%H R. H. Hardin, <a href="/A221165/b221165.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for n=3 k=4

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

%e ..1..5..2..2....0..2..1..2....0..2..1..1....0..0..1..0....0..1..1..0

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

%Y Column 1 is A001906

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 03 2013

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Last modified May 26 11:55 EDT 2024. Contains 372824 sequences. (Running on oeis4.)