A220328 T(n,k)=Equals two maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and antidiagonal neighbors in a random 0..1 nXk array.

1, 1, 1, 2, 4, 1, 4, 16, 12, 1, 7, 48, 92, 37, 1, 12, 174, 572, 508, 114, 1, 21, 658, 4062, 6657, 2788, 351, 1, 37, 2482, 29467, 92093, 76627, 15316, 1081, 1, 65, 9229, 213225, 1335202, 2065264, 876714, 84196, 3329, 1, 114, 33982, 1540686, 18836493, 59893608

Offset: 1

Author

R. H. Hardin Dec 10 2012

Keywords

• nonn
• tabl

Comments

Table starts

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

.1.....4......16........48........174........658.......2482......9229

.1....12......92.......572.......4062......29467.....213225...1540686

.1....37.....508......6657......92093....1335202...18836493.265346645

.1...114....2788.....76627....2065264...59893608.1653121774

.1...351...15316....876714...46094354.2680626797

.1..1081...84196..10004541.1026529800

.1..3329..462940.114058230

.1.10252.2545492

.1.31572

.1

Examples

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

Links

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

Crossrefs

Column 2 is A099098

Row 1 is A005251(n+1)