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A223041
T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order
6
1, 1, 2, 2, 8, 5, 11, 98, 105, 15, 34, 1265, 3780, 1585, 51, 131, 17356, 229437, 255943, 23107, 187, 438, 241583, 8580619, 42964721, 10904199, 353631, 715, 2150, 3395532, 545607733, 7361951209, 8206670940, 751990800, 5338646, 2795, 7676, 48048796
OFFSET
1,3
COMMENTS
Table starts
.....1........1...........2............11............34...........131
.....2........8..........98..........1265.........17356........241583
.....5......105........3780........229437.......8580619.....545607733
....15.....1585......255943......42964721....7361951209.1278533695058
....51....23107....10904199....8206670940.3829674402996
...187...353631...751990800.1590576924149
...715..5338646.33007705273
..2795.81874696
.11051
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..1..0..2....0..1..2..3....0..1..0..0....0..1..2..0....0..1..2..2
..3..1..3..2....0..1..1..2....2..1..3..2....3..0..2..3....0..1..2..3
..2..2..1..1....2..3..0..3....3..2..0..2....2..0..1..2....3..1..2..3
CROSSREFS
Column 1 is A007581(n-1)
Column 2 is A222839
Row 1 is A222650
Sequence in context: A021818 A336198 A241328 * A024558 A238452 A103238
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 12 2013
STATUS
approved