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A301802
Number of permutations of {1, 2, ..., n} such that no k+2 points lie on a polynomial of degree k.
1
1, 1, 2, 4, 18, 48, 216, 584, 2870, 10408, 45244, 160248, 762554
OFFSET
0,3
COMMENTS
a(n) is even for all n > 1.
Is this sequence strictly increasing for n > 0?
EXAMPLE
For n = 4, the 18 different permutations are:
[1,2,4,3],[1,3,2,4],[1,3,4,2],[1,4,2,3],[2,1,3,4],[2,1,4,3],
[2,3,1,4],[2,4,1,3],[2,4,3,1],[3,1,2,4],[3,1,4,2],[3,2,4,1],
[3,4,1,2],[3,4,2,1],[4,1,3,2],[4,2,1,3],[4,2,3,1],[4,3,1,2].
CROSSREFS
Cf. A300002.
Sequence in context: A151449 A045664 A106520 * A318249 A093045 A330432
KEYWORD
nonn,more
AUTHOR
Peter Kagey, Mar 26 2018
EXTENSIONS
a(0) and a(10)-a(12) from Peter J. Taylor, Mar 28 2018
STATUS
approved