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 A220579 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 antidiagonal neighbors in a random 0..1 nXk array 13

%I

%S 1,2,1,4,8,1,8,21,32,1,16,115,91,128,1,32,371,1441,375,512,1,64,1504,

%T 8334,17505,1487,2048,1,128,5240,64497,165130,205323,5835,8192,1,256,

%U 19904,436288,2652007,3162375,2352642,22775,32768,1,512,71787,3036588

%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 antidiagonal neighbors in a random 0..1 nXk array

%C Table starts

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

%C .1.......8......21........115.........371.........1504.........5240.......19904

%C .1......32......91.......1441........8334........64497.......436288.....3036588

%C .1.....128.....375......17505......165130......2652007.....33180533...450926562

%C .1.....512....1487.....205323.....3162375....106841503...2449921734.65126683335

%C .1....2048....5835....2352642....59690533...4239598056.178051989526

%C .1....8192...22775...26616961..1120269376.166807007000

%C .1...32768...88683..299065708.20961430054

%C .1..131072..344975.3347252663

%C .1..524288.1341395

%C .1.2097152

%C .1

%H R. H. Hardin, <a href="/A220579/b220579.txt">Table of n, a(n) for n = 1..82</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 2 is A004171(n-1)

%Y Row 1 is A000079(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Dec 16 2012

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Last modified March 31 21:40 EDT 2023. Contains 361673 sequences. (Running on oeis4.)