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A220287 T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and vertical neighbors in a random 0..1 nXk array 5

%I

%S 1,2,2,4,4,4,8,31,31,8,16,96,139,96,16,32,424,1411,1411,424,32,64,

%T 1422,9430,15382,9430,1422,64,128,5504,63154,232795,232795,63154,5504,

%U 128,256,19606,452515,3061937,5691450,3061937,452515,19606,256,512,73294,3130768

%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 and vertical neighbors in a random 0..1 nXk array

%C Table starts

%C ...1.....2.......4........8........16........32.......64.......128......256

%C ...2.....4......31.......96.......424......1422.....5504.....19606....73294

%C ...4....31.....139.....1411......9430.....63154...452515...3130768.21630714

%C ...8....96....1411....15382....232795...3061937.40463019.533004621

%C ..16...424....9430...232795...5691450.147661377

%C ..32..1422...63154..3061937.147661377

%C ..64..5504..452515.40463019

%C .128.19606.3130768

%C .256.73294

%C .512

%H R. H. Hardin, <a href="/A220287/b220287.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for n=3 k=4

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

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

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

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Dec 09 2012

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Last modified January 20 21:46 EST 2022. Contains 350472 sequences. (Running on oeis4.)