A221072 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 king-move neighbors in a random 0..3 nXk array.

2, 2, 2, 8, 8, 8, 16, 20, 20, 16, 24, 56, 512, 56, 24, 64, 168, 4096, 4096, 168, 64, 128, 476, 26976, 65536, 26976, 476, 128, 232, 1364, 262144, 829184, 829184, 262144, 1364, 232, 512, 3952, 2097152, 16777216, 17530176, 16777216, 2097152, 3952, 512, 1024, 11360

Offset: 1

Author

R. H. Hardin Dec 31 2012

Keywords

• nonn
• tabl

Comments

Table starts

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

....2.....8........20.........56.........168.........476........1364.......3952

....8....20.......512.......4096.......26976......262144.....2097152...16401664

...16....56......4096......65536......829184....16777216...268435456.4185880576

...24...168.....26976.....829184....17530176...811440640.25241048576

...64...476....262144...16777216...811440640.68719476736

..128..1364...2097152..268435456.25241048576

..232..3952..16401664.4185880576

..512.11360.134217728

.1024.32692

.1984

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..70

Crossrefs

Column 1 is A220172