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

1,4

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

Links

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

Example

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

Crossrefs

Column 2 is A099098

Row 1 is A005251(n+1)

Sequence in context: A181332 A204021 A236471 * A220935 A221290 A078739

Adjacent sequences: A220325 A220326 A220327 * A220329 A220330 A220331

Keyword

nonn,tabl

Author

R. H. Hardin Dec 10 2012

Status

approved