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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 7
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 (list; table; graph; refs; listen; history; text; internal format)
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: A268009 A263224 A267957 * A204705 A206650 A268049

Adjacent sequences:  A204975 A204976 A204977 * A204979 A204980 A204981

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 21 2012

STATUS

approved

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Last modified September 18 13:54 EDT 2021. Contains 347527 sequences. (Running on oeis4.)