A235940 Number of circular permutations with exactly one (unspecified) increasing or decreasing modular 3-sequence, with clockwise and counterclockwise traversals counted as distinct.

0, 0, 0, 0, 10, 24, 154, 992, 7344, 61120, 568062, 5827248, 65449878, 799122856, 10541495760, 149434080256, 2265793149218, 36594799613064, 627269647629538, 11373729261469680, 217514607586602480

Offset

1,5

References

Paul J. Campbell, Circular permutations with exactly one modular run (3-sequence), submitted to Journal of Integer Sequences.

Links

Table of n, a(n) for n=1..21.

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.

Formula

a(n) = 2n*A235937(n).

a(n) = n*A235938(n).

a(n) = 2*A235939(n).

Crossrefs

Cf. A165961, A165964, A165962, A078628, A078673.

Cf. A235937, A235938, A235939, A235941, A235942, A235943.

Sequence in context: A223408 A261807 A135285 * A103071 A264296 A265150

Adjacent sequences: A235937 A235938 A235939 * A235941 A235942 A235943

Keyword

nonn,more

Author

Paul J. Campbell, Jan 20 2014, with Joe Marasco and Ashish Vikram

Extensions

a(20)-a(21) added using the data at A235939 by Amiram Eldar, May 06 2024

Status

approved