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A220375 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 vertical neighbors in a random 0..2 nXk array 4

%I #4 Dec 13 2012 06:49:53

%S 1,1,1,2,6,2,4,23,23,4,7,94,236,94,7,12,380,2095,2095,380,12,21,1494,

%T 18296,39780,18296,1494,21,37,5939,154562,722126,722126,154562,5939,

%U 37,65,23398,1280878,12480964,26483660,12480964,1280878,23398,65,114,92317

%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 vertical neighbors in a random 0..2 nXk array

%C Table starts

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

%C ..1.....6......23.......94......380.....1494......5939....23398.92317

%C ..2....23.....236.....2095....18296...154562...1280878.10492879

%C ..4....94....2095....39780...722126.12480964.209958887

%C ..7...380...18296...722126.26483660

%C .12..1494..154562.12480964

%C .21..5939.1280878

%C .37.23398

%C .65

%H R. H. Hardin, <a href="/A220375/b220375.txt">Table of n, a(n) for n = 1..49</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A005251(n+1)

%K nonn,tabl

%O 1,4

%A _R. H. Hardin_ Dec 13 2012

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)