The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A235937 Number of circular permutations with exactly one specified increasing or decreasing modular run (3-sequence), with clockwise and counterclockwise traversals not counted as distinct. 6
 0, 0, 0, 0, 1, 2, 11, 62, 408, 3056, 25821, 242802, 2517303, 28540102, 351383192, 4669815008, 66640974977, 1016522211474, 16507095990251, 284343231536742, 5178919228252440 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS Arrangements that differ only in the direction in which the cycle is traversed do not count as different. This sequence is the same as for straight permutations of {0,1,...,n} that begin with {0,1} and end with {n-1,n} but have no increasing or decreasing 3-sequence, viz., the sequence b(0,1...n-2,n-1) in Dymáček and Lambert. REFERENCES Paul J. Campbell, Circular permutations with exactly one modular run (3-sequence), submitted to Journal of Integer Sequences LINKS Wayne M. Dymáček and Isaac Lambert, Circular permutations avoiding runs of i, i+1, i+2 or i, i-1, i-2, Journal of Integer Sequences, Vol. 14 (2011) Article 11.1.6. EXAMPLE With specified sequence 123: a(5) = 1: 12354. a(6) = 2: 123564, 123645. a(7) = 11: 1235476, 1235746, 1235764, 1236475, 1236574, 1236745, 1236754, 1237465, 1237546, 1237564, 1237645. CROSSREFS Cf. A165961, A165964, A165962, A078628, A078673. Cf. A235938, A235939, A235940, A235941, A235942, A235943. Sequence in context: A183160 A020078 A002629 * A065928 A188648 A114175 Adjacent sequences:  A235934 A235935 A235936 * A235938 A235939 A235940 KEYWORD nonn AUTHOR Paul J. Campbell, Jan 20 2014, with Joe Marasco and Ashish Vikram EXTENSIONS a(20)-a(21) from Alois P. Heinz, Jan 24 2014 Obsolete b-file deleted by N. J. A. Sloane, Jan 05 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 6 11:01 EDT 2020. Contains 333273 sequences. (Running on oeis4.)