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A163796 a(n) is the n-th J_16-prime (Josephus_16 prime). 2
2, 14, 49, 333, 534, 550, 2390, 3682, 146794, 275530, 687245, 855382 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Place the numbers 1..N (N>=2) on a circle and cyclicly mark the 16th unmarked number until all N numbers are marked. The order in which the N numbers are marked defines a permutation; N is a J_16-prime if this permutation consists of a single cycle of length N.
There are 12 J_16-primes in the interval 2..1000000 only. No formula is known; the J_16-primes were found by exhaustive search.
REFERENCES
R. L. Graham, D. E. Knuth & O. Patashnik, Concrete Mathematics (1989), Addison-Wesley, Reading, MA. Sections 1.3 & 3.3.
LINKS
P. R. J. Asveld, Permuting Operations on Strings and Their Relation to Prime Numbers, Discrete Applied Mathematics 159 (2011) 1915-1932.
P. R. J. Asveld, Permuting Operations on Strings-Their Permutations and Their Primes, Twente University of Technology, 2014. University link.
EXAMPLE
2 is a J_16-prime (trivial).
CROSSREFS
Cf. A163762 through A163795 for J_2- through J_15-primes.
Cf. A163797 through A163800 for J_17- through J_20-primes.
Sequence in context: A330544 A056080 A241232 * A153978 A214908 A143553
KEYWORD
nonn,more
AUTHOR
Peter R. J. Asveld, Aug 04 2009
STATUS
approved

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Last modified July 25 13:59 EDT 2024. Contains 374590 sequences. (Running on oeis4.)