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A204705 T(n,k)=Number of nXk 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..2 introduced in row major order 8
1, 2, 2, 4, 14, 4, 11, 96, 96, 11, 30, 726, 1417, 726, 30, 82, 5400, 22869, 22869, 5400, 82, 224, 40344, 362020, 835135, 362020, 40344, 224, 612, 301056, 5767683, 29846373, 29846373, 5767683, 301056, 612, 1672, 2247264, 91733605, 1074195735, 2389914827 (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.......1417.........22869...........362020.............5767683

..11.....726......22869........835135.........29846373..........1074195735

..30....5400.....362020......29846373.......2389914827........192759130113

..82...40344....5767683....1074195735.....192759130113......34925753412578

.224..301056...91733605...38585324821...15521787839696....6319625580942184

.612.2247264.1459710274.1386815731346.1250634888842984.1144097011453760287

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

EXAMPLE

Some solutions for n=5 k=3

..0..0..1....0..0..1....0..1..2....0..1..0....0..1..0....0..0..1....0..0..1

..1..0..0....2..0..1....1..1..2....2..1..2....0..1..1....1..2..2....1..0..2

..0..2..1....2..1..2....1..2..1....2..2..1....1..0..2....2..1..2....2..1..1

..0..0..2....1..2..1....0..1..2....0..1..1....1..2..2....2..2..0....0..1..2

..1..0..1....0..2..1....2..1..2....0..0..2....2..0..0....0..1..1....0..2..1

CROSSREFS

Column 1 is A021006(n-3)

Sequence in context: A263224 A267957 A204978 * A206650 A268049 A267911

Adjacent sequences:  A204702 A204703 A204704 * A204706 A204707 A204708

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 18 2012

STATUS

approved

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Last modified September 19 13:13 EDT 2020. Contains 337178 sequences. (Running on oeis4.)