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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 Table of n, a(n) for n=1..12. 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. Index entries for sequences related to the Josephus Problem 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 Adjacent sequences: A163793 A163794 A163795 * A163797 A163798 A163799 KEYWORD nonn,more AUTHOR Peter R. J. Asveld, Aug 04 2009 STATUS approved

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