A219310 - OEIS

%I #4 Nov 17 2012 13:10:01

%S 1,2,2,4,6,4,7,18,18,7,12,51,90,51,12,21,142,423,423,142,21,37,405,

%T 1958,3334,1958,405,37,65,1157,9233,25647,25647,9233,1157,65,114,3289,

%U 43725,200376,326444,200376,43725,3289,114,200,9344,206269,1574278,4215579

%N T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nXk array

%C Table starts

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

%C ...2......6........18..........51...........142............405...........1157

%C ...4.....18........90.........423..........1958...........9233..........43725

%C ...7.....51.......423........3334.........25647.........200376........1574278

%C ..12....142......1958.......25647........326444........4215579.......54797587

%C ..21....405......9233......200376.......4215579.......89981627.....1935133104

%C ..37...1157.....43725.....1574278......54797587.....1935133104....68906619754

%C ..65...3289....206269....12334824.....710493819....41520773667..2448261182674

%C .114...9344....971794....96480571....9194088812...888957906061.86782430779997

%C .200..26580...4583164...755212375..119051026450.19043081452793

%C .351..75621..21622807..5914093280.1542298398563

%C .616.215076.101988408.46306103745

%H R. H. Hardin, <a href="/A219310/b219310.txt">Table of n, a(n) for n = 1..126</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A005251(n+2)

%Y Column 2 is A219136

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Nov 17 2012