A219985 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..3 nXk array

1, 2, 2, 4, 11, 4, 7, 42, 42, 7, 12, 154, 316, 154, 12, 21, 582, 2344, 2344, 582, 21, 37, 2199, 17591, 34212, 17591, 2199, 37, 65, 8287, 131978, 507655, 507655, 131978, 8287, 65, 114, 31240, 989813, 7542829, 14960307, 7542829, 989813, 31240, 114, 200

Offset

1,2

Comments

Table starts

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

...2......11........42.........154..........582..........2199..........8287

...4......42.......316........2344........17591........131978........989813

...7.....154......2344.......34212.......507655.......7542829.....111990804

..12.....582.....17591......507655.....14960307.....441412699...13011647253

..21....2199....131978.....7542829....441412699...25862914118.1513751822570

..37....8287....989813...111990804..13011647253.1513751822570

..65...31240...7423785..1662706049.383542823910

.114..117789..55680172.24686644236

.200..444096.417613528

.351.1674344

.616

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

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

Crossrefs

Column 1 is A005251(n+2)

Column 2 is A219100

Sequence in context: A218823 A296599 A219106 * A220800 A220786 A280673

Adjacent sequences: A219982 A219983 A219984 * A219986 A219987 A219988

Keyword

nonn,tabl

Author

R. H. Hardin Dec 02 2012

Status

approved