A219156 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

1, 2, 2, 4, 4, 4, 7, 9, 9, 7, 12, 21, 32, 21, 12, 21, 49, 104, 104, 49, 21, 37, 115, 360, 531, 360, 115, 37, 65, 269, 1234, 2708, 2708, 1234, 269, 65, 114, 628, 4224, 13725, 20400, 13725, 4224, 628, 114, 200, 1468, 14421, 69784, 153666, 153666, 69784, 14421, 1468

Offset

1,2

Comments

Table starts

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

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

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

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

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

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

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

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

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

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

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

.616.18758.1970380.236075721.28142976424.3270741315594.381141272070008

Links

R. H. Hardin, Table of n, a(n) for n = 1..218

Example

Some solutions for n=3 k=4
..0..0..1..1....0..0..0..1....1..0..0..0....0..0..0..1....1..1..1..1
..0..1..0..0....0..0..0..0....0..0..0..0....0..0..1..0....0..0..0..0
..1..0..0..0....1..0..0..0....0..1..1..1....0..1..0..0....0..0..0..0

Crossrefs

Column 1 is A005251(n+2)

Sequence in context: A120456 A367039 A115383 * A210036 A304230 A305586

Adjacent sequences: A219153 A219154 A219155 * A219157 A219158 A219159

Keyword

nonn,tabl

Author

R. H. Hardin Nov 12 2012

Status

approved