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A163796 a(n) is the n-th J_16-prime (Josephus_16 prime) Place the numbers 1..N (N>=2) on a circle and cyclicly mark the 16th unmarked number until all N umbers 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. 2
2, 14, 49, 333, 534, 550, 2390, 3682, 146794, 275530, 687245, 855382 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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.

EXAMPLE

2 is a J_16-prime (trivial).

CROSSREFS

A163762 through A163795 for J_2- through J_15-primes. A163797 through A163800 for J_17- through J_20-primes.

Sequence in context: A200193 A083102 A056080 * A153978 A143553 A064363

Adjacent sequences:  A163793 A163794 A163795 * A163797 A163798 A163799

KEYWORD

nonn

AUTHOR

P. R. J. Asveld (infprja(AT)cs.utwente.nl), Aug 04 2009

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Last modified February 17 23:58 EST 2012. Contains 206085 sequences.