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A220916 T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 nXk array 6

%I #4 Dec 24 2012 17:34:51

%S 1,2,1,4,8,1,8,37,38,1,16,165,379,176,1,32,749,3687,3299,816,1,64,

%T 3279,30963,61597,27365,3616,1,128,13865,253013,1017676,1004213,

%U 220299,15362,1,256,57374,2042071,16524320,32829580,16172914,1754781,63484,1,512

%N T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 nXk array

%C Table starts

%C .1.....2.......4........8.......16.......32........64......128....256.512

%C .1.....8......37......165......749.....3279.....13865....57374.233955

%C .1....38.....379.....3687....30963...253013...2042071.16390010

%C .1...176....3299....61597..1017676.16524320.265639495

%C .1...816...27365..1004213.32829580

%C .1..3616..220299.16172914

%C .1.15362.1754781

%C .1.63484

%C .1

%H R. H. Hardin, <a href="/A220916/b220916.txt">Table of n, a(n) for n = 1..49</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 2 is A220542

%Y Row 1 is A000079(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Dec 24 2012

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Last modified April 23 09:45 EDT 2024. Contains 371905 sequences. (Running on oeis4.)