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A222878 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order 10
1, 1, 2, 2, 11, 5, 11, 122, 131, 15, 34, 1814, 6282, 2150, 51, 131, 26311, 409775, 443510, 32491, 187, 438, 399849, 19707855, 95867967, 23794078, 533186, 715, 2150, 6013669, 1340197778, 20978414941, 22794825314, 1698174722, 8362152, 2795, 7676 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
Table starts
.....1..........1...............2...................11......................34
.....2.........11.............122.................1814...................26311
.....5........131............6282...............409775................19707855
....15.......2150..........443510.............95867967.............20978414941
....51......32491........23794078..........22794825314..........16473931317022
...187.....533186......1698174722........5472896849943.......17791003053622809
...715....8362152.....93656293632.....1322676376672081....14337592109053271558
..2795..135650378...6637413406814...321195816580955511.15577784123509878927189
.11051.2155759835.372075279639542.78284744747263499257
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..1....0..0..1..0....0..0..1..2....0..1..0..1....0..1..0..2
..2..3..1..2....0..2..2..3....1..3..1..0....0..2..2..2....1..0..1..3
..0..2..3..0....0..3..2..1....1..2..0..2....1..0..0..0....2..0..2..1
CROSSREFS
Column 1 is A007581(n-1)
Row 1 is A222650
Sequence in context: A359425 A213990 A275429 * A090525 A328455 A265530
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 08 2013
STATUS
approved

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)