A222448 T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nXk array

2, 2, 2, 8, 14, 8, 16, 64, 64, 16, 24, 210, 420, 210, 24, 64, 1024, 4056, 4056, 1024, 64, 128, 4000, 32720, 65536, 32720, 4000, 128, 232, 16288, 262104, 1048576, 1048576, 262104, 16288, 232, 512, 65536, 2082688, 16750154, 33553664, 16750154, 2082688

Offset

1,1

Comments

Table starts

....2......2........8........16.........24.........64.........128........232

....2.....14.......64.......210.......1024.......4000.......16288......65536

....8.....64......420......4056......32720.....262104.....2082688...16777216

...16....210.....4056.....65536....1048576...16750154...268430848.4294967008

...24...1024....32720...1048576...33553664.1073741824.34359738368

...64...4000...262104..16750154.1073741824

..128..16288..2082688.268430848

..232..65536.16777216

..512.260080

.1024

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Column 1 is A220172

Sequence in context: A339162 A360808 A168272 * A360309 A220254 A220177

Adjacent sequences: A222445 A222446 A222447 * A222449 A222450 A222451

Keyword

nonn,tabl

Author

R. H. Hardin Feb 20 2013

Status

approved