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A205310
T(n,k)=Number of nXk 0..3 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..3 introduced in row major order
7
1, 2, 2, 4, 15, 4, 12, 159, 159, 12, 40, 2191, 7445, 2191, 40, 143, 31168, 381958, 381958, 31168, 143, 528, 447343, 19490790, 70985206, 19490790, 447343, 528, 1979, 6427791, 996536552, 13049279920, 13049279920, 996536552, 6427791, 1979, 7466, 92387812
OFFSET
1,2
COMMENTS
Table starts
....1........2.............4................12.....................40
....2.......15...........159..............2191..................31168
....4......159..........7445............381958...............19490790
...12.....2191........381958..........70985206............13049279920
...40....31168......19490790.......13049279920..........8615950028840
..143...447343.....996536552.....2404472055439.......5705396521337690
..528..6427791...50933680120...442834241887042....3775750320744043966
.1979.92387812.2603456557653.81565593153176155.2499057571450100571862
LINKS
EXAMPLE
Some solutions for n=5 k=3
..0..0..1....0..0..1....0..0..1....0..1..0....0..0..1....0..0..1....0..1..1
..0..1..0....1..2..1....0..2..0....0..2..1....0..1..1....2..0..2....0..2..1
..2..2..1....1..3..2....3..1..1....1..0..0....2..0..2....2..1..1....1..1..0
..1..3..2....0..3..3....2..0..2....3..1..3....2..1..0....0..1..1....3..2..3
..0..1..0....0..1..3....0..1..0....0..1..0....3..2..2....2..2..3....3..0..0
CROSSREFS
Column 1 is A204678
Column 2 is A204679
Sequence in context: A268073 A204685 A205161 * A222924 A268423 A261531
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 25 2012
STATUS
approved