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A208322 T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or left-upward diagonal neighbors 8
1, 2, 2, 5, 13, 5, 14, 113, 113, 14, 41, 982, 2852, 982, 41, 122, 8534, 71956, 71956, 8534, 122, 365, 74164, 1815496, 5269968, 1815496, 74164, 365, 1094, 644516, 45806048, 385979024, 385979024, 45806048, 644516, 1094, 3281, 5601112, 1155714080 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1.......2...........5..............14.................41

....2......13.........113.............982...............8534

....5.....113........2852...........71956............1815496

...14.....982.......71956.........5269968..........385979024

...41....8534.....1815496.......385979024........82063614224

..122...74164....45806048.....28269518640.....17447625342768

..365..644516..1155714080...2070490270512...3709557427849168

.1094.5601112.29159359552.151644956050096.788692779445041968

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..312

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

CROSSREFS

Column 1 is A007051(n-1)

Sequence in context: A208960 A209054 A209218 * A208175 A078413 A019083

Adjacent sequences:  A208319 A208320 A208321 * A208323 A208324 A208325

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 25 2012

STATUS

approved

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Last modified January 28 12:35 EST 2022. Contains 350656 sequences. (Running on oeis4.)