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A268159 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to at least one vertical or antidiagonal neighbor and the top left element equal to 0. 6
0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 3, 8, 6, 0, 0, 7, 14, 36, 0, 0, 0, 17, 52, 906, 456, 120, 0, 0, 42, 1516, 31818, 23592, 6360, 0, 0, 0, 104, 7582, 770406, 10213152, 3304920, 93600, 5040, 0, 0, 259, 46338, 28194516, 871718016, 4067565720, 334738800, 1784160, 0, 0, 0, 648 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

Table starts

.0....0.......0.........0..........0.............0............0.........0

.0....1.......1.........3..........7............17...........42.......104

.0....0.......8........14.........52..........1516.........7582.....46338

.0....6......36.......906......31818........770406.....28194516.857204082

.0....0.....456.....23592...10213152.....871718016.131259920304

.0..120....6360...3304920.4067565720.2310125813160

.0....0...93600.334738800

.0.5040.1784160

.0....0

.0

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..61

EXAMPLE

Some solutions for n=4 k=4

..0..3..3..1....0..3..2..3....0..3..1..2....0..2..1..2....0..0..1..1

..0..3..2..1....0..3..2..3....0..3..1..2....0..2..1..2....0..1..2..1

..3..2..0..1....1..1..0..2....3..0..2..1....1..3..0..3....0..2..3..3

..2..2..0..1....1..1..0..2....3..0..2..1....1..3..0..3....2..2..3..3

CROSSREFS

Column 2 is A005212(n-1).

Row 2 is A003440(n-2).

Sequence in context: A054792 A144872 A090347 * A016624 A021263 A246727

Adjacent sequences:  A268156 A268157 A268158 * A268160 A268161 A268162

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 27 2016

STATUS

approved

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Last modified August 3 22:03 EDT 2021. Contains 346441 sequences. (Running on oeis4.)