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A281540 T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 7
0, 0, 0, 0, 0, 0, 1, 4, 4, 1, 2, 104, 290, 104, 2, 9, 612, 2919, 2919, 612, 9, 34, 3056, 14561, 15624, 14561, 3056, 34, 124, 16368, 63840, 52529, 52529, 63840, 16368, 124, 432, 82656, 245037, 146956, 130646, 146956, 245037, 82656, 432, 1464, 397040, 871492 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

....0.......0.......0.......1.......2.......9.......34......124......432

....0.......0.......4.....104.....612....3056....16368....82656...397040

....0.......4.....290....2919...14561...63840...245037...871492..2953605

....1.....104....2919...15624...52529..146956...385284...979866..2440042

....2.....612...14561...52529..130646..290073...610493..1274531..2667156

....9....3056...63840..146956..290073..560972..1066920..2001002..3797780

...34...16368..245037..385284..610493.1066920..1935368..3474958..6171868

..124...82656..871492..979866.1274531.2001002..3474958..6195904.10767665

..432..397040.2953605.2440042.2667156.3797780..6171868.10767665.18777294

.1464.1873344.9666482.5946178.5549073.7294930.11158871.18503172.31737730

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..241

FORMULA

Empirical for column k:

k=1: a(n) = 6*a(n-1) -6*a(n-2) -16*a(n-3) +12*a(n-4) +24*a(n-5) +8*a(n-6) for n>10

k=2: [order 12]

k=3: [order 22] for n>30

k=4: [order 36] for n>50

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A280309.

Sequence in context: A089746 A225330 A094884 * A053216 A278516 A292434

Adjacent sequences:  A281537 A281538 A281539 * A281541 A281542 A281543

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 23 2017

STATUS

approved

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Last modified June 15 17:43 EDT 2019. Contains 324142 sequences. (Running on oeis4.)