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A219403 T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no king-move neighbor in a random 0..1 nXk array 7

%I #4 Nov 19 2012 12:12:00

%S 1,2,2,4,2,4,7,4,4,7,12,7,16,7,12,21,12,43,43,12,21,37,21,122,165,122,

%T 21,37,65,37,345,649,649,345,37,65,114,65,979,2527,3668,2527,979,65,

%U 114,200,114,2791,10011,20293,20293,10011,2791,114,200,351,200,7936,39787,114175

%N T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no king-move neighbor in a random 0..1 nXk array

%C Table starts

%C ...1...2......4.......7........12..........21............37..............65

%C ...2...2......4.......7........12..........21............37..............65

%C ...4...4.....16......43.......122.........345...........979............2791

%C ...7...7.....43.....165.......649........2527.........10011...........39787

%C ..12..12....122.....649......3668.......20293........114175..........645789

%C ..21..21....345....2527.....20293......157672.......1248733.........9953852

%C ..37..37....979...10011....114175.....1248733......13982113.......157624553

%C ..65..65...2791...39787....645789.....9953852.....157624553......2515924143

%C .114.114...7936..157725...3642830....79164115....1772485911.....40037796135

%C .200.200..22540..623929..20501770...627610975...19857212049....634407839438

%C .351.351..64031.2468377.115358777..4973394056..222321252297..10044268681464

%C .616.616.181974.9771861.649532106.39444021562.2491495568397.159192190071951

%H R. H. Hardin, <a href="/A219403/b219403.txt">Table of n, a(n) for n = 1..198</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A005251(n+2)

%Y Column 2 is A005251(n+2) for n>1

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Nov 19 2012

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)