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

Author

R. H. Hardin Feb 20 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A220172