A204978 T(n,k)=Number of nXk 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order

1, 2, 2, 4, 14, 4, 11, 96, 96, 11, 30, 726, 1217, 726, 30, 82, 5400, 16813, 16813, 5400, 82, 224, 40344, 226908, 451468, 226908, 40344, 224, 612, 301056, 3074889, 11815256, 11815256, 3074889, 301056, 612, 1672, 2247264, 41618941, 311275169, 594430765

Offset

1,2

Comments

Table starts

...1.......2.........4...........11.............30..............82

...2......14........96..........726...........5400...........40344

...4......96......1217........16813.........226908.........3074889

..11.....726.....16813.......451468.......11815256.......311275169

..30....5400....226908.....11815256......594430765.....30057359681

..82...40344...3074889....311275169....30057359681...2924321664147

.224..301056..41618941...8202482914..1519010368414.284567725886961

.612.2247264.563504926.216132492162.76757855124562

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

Some solutions for n=5 k=3
..0..1..1....0..0..1....0..1..0....0..0..1....0..0..1....0..0..1....0..0..1
..0..1..2....2..0..0....2..1..2....2..0..0....0..0..1....0..0..1....1..2..1
..2..2..0....2..1..2....2..2..1....2..1..2....1..1..2....1..2..2....2..2..0
..0..1..1....1..1..2....0..1..1....0..1..2....2..1..1....1..2..2....0..0..2
..0..2..1....1..2..0....0..0..2....0..2..0....0..0..2....0..0..1....2..0..0

Crossrefs

Column 1 is A021006(n-3)

Column 2 is A204699

Sequence in context: A263224 A360922 A267957 * A204705 A206650 A268049

Adjacent sequences: A204975 A204976 A204977 * A204979 A204980 A204981

Keyword

nonn,tabl

Author

R. H. Hardin Jan 21 2012

Status

approved