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A279453 Triangle read by rows: T(n, k) is the number of nonequivalent ways to place k points on an n X n square grid so that no more than 2 points are on a vertical or horizontal straight line. 9
1, 1, 1, 1, 2, 1, 1, 1, 3, 8, 14, 17, 9, 2, 1, 3, 21, 73, 202, 306, 285, 115, 20, 1, 6, 49, 301, 1397, 4361, 9110, 11810, 8679, 2929, 288, 1, 6, 93, 890, 6582, 34059, 126396, 326190, 568134, 624875, 390426, 111798, 8791, 1, 10, 171, 2321, 24185, 185181, 1055025 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
Length of n-th row is A272651(n) + 1, where A272651(n) is the maximal number of points that can be placed under the condition mentioned.
Rotations and reflections of placements are not counted. If they are to be counted, see A279445.
For condition "no more than 2 points on a straight line at any angle", see A235453.
LINKS
EXAMPLE
The table begins with T(1, 0):
1 1
1 1 2 1 1
1 3 8 14 17 9 2
1 3 21 73 202 306 285 115 20
1 6 49 301 1397 4361 9110 11810 8679 2929 288
...
T(4, 3) = 73 because there are 73 nonequivalent ways to place 3 points on a 4 X 4 square grid so that no more than 2 points are on a vertical or horizontal straight line.
CROSSREFS
Row sums give A279454.
Diagonal T(n, n) is A279452.
Sequence in context: A196017 A343555 A251660 * A054252 A240472 A366836
KEYWORD
nonn,tabf
AUTHOR
Heinrich Ludwig, Dec 17 2016
STATUS
approved

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Last modified April 14 20:39 EDT 2024. Contains 371667 sequences. (Running on oeis4.)