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T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal, antidiagonal or vertical neighbor in a random 0..1 nXk array
8

%I #4 Nov 12 2012 20:55:24

%S 1,2,2,4,4,4,7,9,9,7,12,21,32,21,12,21,49,104,104,49,21,37,115,360,

%T 531,360,115,37,65,269,1234,2708,2708,1234,269,65,114,628,4224,13725,

%U 20400,13725,4224,628,114,200,1468,14421,69784,153666,153666,69784,14421,1468

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

%C Table starts

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

%C ...2.....4.......9........21..........49...........115.............269

%C ...4.....9......32.......104.........360..........1234............4224

%C ...7....21.....104.......531........2708.........13725...........69784

%C ..12....49.....360......2708.......20400........153666.........1158374

%C ..21...115....1234.....13725......153666.......1707676........19027977

%C ..37...269....4224.....69784.....1158374......19027977.......313358793

%C ..65...628...14421....354500.....8729263.....212185508......5166391614

%C .114..1468...49292...1800573....65770098....2364398926.....85169635842

%C .200..3433..168568...9147029...495575471...26340590202...1403453366899

%C .351..8025..576373..46470551..3734568186..293506138765..23126821932330

%C .616.18758.1970380.236075721.28142976424.3270741315594.381141272070008

%H R. H. Hardin, <a href="/A219156/b219156.txt">Table of n, a(n) for n = 1..218</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A005251(n+2)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Nov 12 2012