A183450 T(n,k)=Number of nXk binary arrays with every 1 having exactly two king-move neighbors equal to 1

1, 1, 1, 1, 5, 1, 1, 9, 9, 1, 1, 13, 18, 13, 1, 1, 33, 30, 30, 33, 1, 1, 69, 107, 72, 107, 69, 1, 1, 121, 265, 283, 283, 265, 121, 1, 1, 253, 553, 831, 2054, 831, 553, 253, 1, 1, 529, 1505, 2399, 9208, 9208, 2399, 1505, 529, 1, 1, 1013, 3852, 7761, 34867, 53608, 34867, 7761

Offset

1,5

Comments

Table starts

.1....1....1.....1.......1........1..........1...........1............1

.1....5....9....13......33.......69........121.........253..........529

.1....9...18....30.....107......265........553........1505.........3852

.1...13...30....72.....283......831.......2399........7761........23840

.1...33..107...283....2054.....9208......34867......176949.......833001

.1...69..265...831....9208....53608.....257733.....1817225.....11414889

.1..121..553..2399...34867...257733....1744887....16192521....132651622

.1..253.1505..7761..176949..1817225...16192521...216103851...2491241396

.1..529.3852.23840..833001.11414889..132651622..2491241396..39184763856

.1.1013.8922.72396.3619285.65073225.1038281076.26807184942.568464533358

Links

R. H. Hardin, Table of n, a(n) for n = 1..363

Example

Some solutions for 6X5
..0..1..0..0..0....1..1..0..1..1....1..1..0..0..1....0..0..0..1..1
..1..0..1..0..0....0..1..0..1..0....1..0..0..1..1....0..0..0..1..0
..1..0..1..0..0....0..0..0..0..0....0..0..0..0..0....0..1..0..0..0
..1..0..0..1..0....0..0..1..1..0....0..0..0..1..1....1..0..1..0..0
..0..1..0..1..0....0..1..0..0..1....1..1..0..0..1....1..0..1..0..0
..0..0..1..0..0....0..0..1..1..0....1..0..0..0..0....0..1..0..0..0

Crossrefs

Column 2 is A089977(n+1)

Sequence in context: A046579 A153108 A157174 * A296128 A131061 A157169

Adjacent sequences: A183447 A183448 A183449 * A183451 A183452 A183453

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2011

Status

approved