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A205161
T(n,k)=Number of nXk 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order
7
1, 2, 2, 4, 15, 4, 12, 159, 159, 12, 40, 2191, 6941, 2191, 40, 143, 31168, 332285, 332285, 31168, 143, 528, 447343, 15821727, 54314298, 15821727, 447343, 528, 1979, 6427791, 754700909, 8797534495, 8797534495, 754700909, 6427791, 1979, 7466, 92387812
OFFSET
1,2
COMMENTS
Table starts
....1........2.............4................12....................40
....2.......15...........159..............2191.................31168
....4......159..........6941............332285..............15821727
...12.....2191........332285..........54314298............8797534495
...40....31168......15821727........8797534495.........4826926610498
..143...447343.....754700909.....1427843505563......2654271236904226
..528..6427791...35987024999...231638725420288...1458877292453477918
.1979.92387812.1716127952620.37582214286016391.801931987315155805350
LINKS
EXAMPLE
Some solutions for n=5 k=3
..0..0..1....0..1..0....0..0..1....0..0..1....0..0..1....0..0..1....0..1..0
..2..0..3....0..1..0....0..0..1....1..2..1....0..1..0....0..1..0....2..0..1
..3..1..1....1..2..1....2..3..2....1..3..2....2..2..1....2..2..1....0..2..1
..0..1..2....0..1..1....1..2..0....0..3..3....0..3..1....1..3..2....1..2..3
..1..2..0....3..3..0....1..0..0....0..1..3....0..1..0....0..1..0....3..0..0
CROSSREFS
Column 1 is A204678
Column 2 is A204679
Sequence in context: A360194 A268073 A204685 * A205310 A222924 A268423
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 22 2012
STATUS
approved