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A280902 T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 11
0, 0, 0, 0, 1, 0, 1, 10, 9, 0, 2, 213, 646, 124, 0, 9, 2292, 22568, 22632, 1464, 0, 34, 21762, 492490, 1451655, 610448, 15768, 0, 124, 184076, 9426050, 65348136, 75809243, 14262832, 159920, 0, 432, 1457827, 162640161, 2571528867, 7083739466 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,8
COMMENTS
Table starts
.0........0............0...............1..................2...................9
.0........1...........10.............213...............2292...............21762
.0........9..........646...........22568.............492490.............9426050
.0......124........22632.........1451655...........65348136..........2571528867
.0.....1464.......610448........75809243.........7083739466........574982226478
.0....15768.....14262832......3521886844.......684011230518.....114677717497532
.0...159920....304584096....151803173493.....61277484218852...21239418911643829
.0..1554304...6117000704...6210239609889...5208435552362140.3734730743379447607
.0.14632704.117496694272.244458357395448.425813044528570428
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: [order 6] for n>8
k=3: [order 6] for n>8
k=4: [order 12] for n>14
k=5: [order 24] for n>27
Empirical for row n:
n=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
n=2: [order 15] for n>17
n=3: [order 54] for n>60
EXAMPLE
Some solutions for n=3 k=4
..0..0..1..2. .0..0..1..0. .0..1..0..0. .0..1..0..2. .0..1..2..0
..1..1..2..1. .2..1..0..0. .2..1..0..2. .1..2..2..0. .1..1..1..2
..0..0..1..1. .1..0..2..0. .1..0..2..0. .1..1..1..2. .2..2..0..1
CROSSREFS
Row 1 is A280309.
Sequence in context: A317813 A038310 A318421 * A118768 A318255 A008956
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 10 2017
STATUS
approved

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)