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A220935 T(n,k)=Equals two maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and antidiagonal neighbors in a random 0..2 nXk array 6

%I #3 Dec 25 2012 11:01:09

%S 1,1,1,2,4,1,4,16,12,1,7,52,92,37,1,12,200,673,556,114,1,21,792,5912,

%T 9107,3332,351,1,37,3080,48212,172904,123958,19996,1081,1,65,12164,

%U 395844,2876430,4983202,1686304,119972,3329,1,114,47827,3232729,49406891

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

%C Table starts

%C .1....1......2.......4.......7......12.......21......37....65.114

%C .1....4.....16......52.....200.....792.....3080...12164.47827

%C .1...12.....92.....673....5912...48212...395844.3232729

%C .1...37....556....9107..172904.2876430.49406891

%C .1..114...3332..123958.4983202

%C .1..351..19996.1686304

%C .1.1081.119972

%C .1.3329

%C .1

%e Some solutions for n=3 k=4

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

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

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

%Y Column 2 is A099098

%Y Row 1 is A005251(n+1)

%K nonn,tabl

%O 1,4

%A _R. H. Hardin_ Dec 25 2012

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Last modified April 19 12:14 EDT 2024. Contains 371792 sequences. (Running on oeis4.)