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A208567
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 left-upward diagonal neighbors
8
1, 2, 2, 5, 10, 5, 14, 68, 68, 14, 41, 464, 1059, 464, 41, 122, 3168, 16608, 16608, 3168, 122, 365, 21632, 260856, 600426, 260856, 21632, 365, 1094, 147712, 4098492, 21758476, 21758476, 4098492, 147712, 1094, 3281, 1008640, 64398564, 788922798
OFFSET
1,2
COMMENTS
Table starts
....1.......2..........5............14...............41.................122
....2......10.........68...........464.............3168...............21632
....5......68.......1059.........16608...........260856.............4098492
...14.....464......16608........600426.........21758476...........788922798
...41....3168.....260856......21758476.......1820627588........152454784170
..122...21632....4098492.....788922798.....152454784170......29489112993258
..365..147712...64398564...28608436530...12768454002596....5705351522369620
.1094.1008640.1011891888.1037446303548.1069433026366756.1103893186338679596
LINKS
EXAMPLE
Some solutions for n=4 k=3
..0..0..0....0..0..0....0..0..0....0..1..0....0..1..0....0..0..1....0..0..1
..1..2..1....0..1..2....0..1..2....0..1..2....2..1..2....2..1..2....2..1..2
..0..2..0....0..1..0....2..0..0....1..0..2....2..1..2....2..0..0....0..2..0
..0..1..2....1..2..0....1..0..1....1..2..0....0..1..2....0..2..1....2..0..2
CROSSREFS
Column 1 is A007051(n-1)
Sequence in context: A304584 A193899 A334017 * A273968 A273964 A223062
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 28 2012
STATUS
approved