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A209100
T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors
14
1, 2, 2, 5, 11, 5, 14, 76, 82, 14, 41, 520, 1326, 612, 41, 122, 3552, 20928, 23248, 4568, 122, 365, 24256, 329064, 849548, 407832, 34096, 365, 1094, 165632, 5171088, 30836932, 34538488, 7154944, 254496, 1094, 3281, 1131008, 81254376, 1118366188
OFFSET
1,2
COMMENTS
Table starts
....1.......2..........5............14...............41.................122
....2......11.........76...........520.............3552...............24256
....5......82.......1326.........20928...........329064.............5171088
...14.....612......23248........849548.........30836932..........1118366188
...41....4568.....407832......34538488.......2896732704........242632290432
..122...34096....7154944....1404480904.....272236743760......52675800891748
..365..254496..125526240...57113932788...25586970618660...11437585318270860
.1094.1899584.2202232576.2322577420320.2404896311723064.2483525516352937680
LINKS
EXAMPLE
Some solutions for n=4 k=3
..0..0..0....0..0..0....0..0..1....0..0..0....0..0..1....0..0..1....0..0..0
..1..1..1....1..1..2....1..2..1....1..1..1....2..0..2....2..0..2....1..1..2
..2..0..0....2..0..0....1..0..1....2..2..0....0..2..0....1..0..2....2..0..1
..1..2..2....1..1..1....2..1..2....1..2..1....2..0..2....1..2..1....0..1..0
CROSSREFS
Column 1 and row 1 are A007051(n-1)
Sequence in context: A117400 A005637 A233018 * A208864 A259828 A380329
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 05 2012
STATUS
approved