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A206359
T(n,k)=Number of nXk 0..4 arrays with no element equal to another within two positions in the same row or column, and new values 0..4 introduced in row major order
8
1, 1, 1, 1, 4, 1, 2, 17, 17, 2, 5, 120, 230, 120, 5, 14, 884, 3284, 3284, 884, 14, 41, 6558, 47060, 91518, 47060, 6558, 41, 122, 48680, 674564, 2545230, 2545230, 674564, 48680, 122, 365, 361422, 9669452, 70894196, 137375464, 70894196, 9669452, 361422, 365
OFFSET
1,5
COMMENTS
Table starts
...1......1.........1...........2..............5.............14.............41
...1......4........17.........120............884...........6558..........48680
...1.....17.......230........3284..........47060.........674564........9669452
...2....120......3284.......91518........2545230.......70894196.....1973960628
...5....884.....47060.....2545230......137375464.....7427049378...401471308746
..14...6558....674564....70894196.....7427049378...780158903978.81929751806834
..41..48680...9669452..1973960628...401471308746.81929751806834
.122.361422.138605744.54973461294.21705874723550
LINKS
EXAMPLE
Some solutions for n=4 k=3
..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2
..3..4..1....1..0..3....3..4..0....1..0..3....1..3..4....2..0..3....2..3..1
..2..3..0....2..4..0....1..2..3....2..3..4....2..4..0....1..4..0....1..4..0
..4..0..2....4..1..2....2..1..4....3..2..0....0..1..2....3..1..2....3..0..2
CROSSREFS
Column 1 is A007051(n-3)
Sequence in context: A299398 A299228 A300040 * A297951 A298560 A298389
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 06 2012
STATUS
approved