A208357 Number of meanders of order 2n+1 (4*n+2 crossings of the infinite line) with central 1-1 cut.

4, 64, 1764, 68644, 3341584, 190992400, 12310790116, 871343837764, 66469126179600, 5391179227622500, 460213149486493456, 41024422751464102500, 3795407861954983718544, 362631040029370613957184, 35638591665642822414493156, 3590789985613539065908070116, 369893506453438150061450367376

Offset

1,1

References

Antonios Panayotopoulos and Panos Tsikouras, Properties of meanders, JCMCC 46 (2003), 181-190.

Antonios Panayotopoulos and Panayiotis Vlamos, Meandric Polygons, Ars Combinatoria 87 (2008), 147-159.

Links

Table of n, a(n) for n=1..17.

S. K. Lando and A. K. Zvonkin, Plane and projective meanders, Theoretical Computer Science Vol. 117, pp. 227-241, 1993.

Antonios Panayotopoulos and Panos Tsikouras, The multimatching property of nested sets, Math. & Sci. Hum. 149 (2000), 23-30.

Antonios Panayotopoulos and Panos Tsikouras, Meanders and Motzkin Words, J. Integer Seq., Vol. 7 (2004), Article 04.1.2.

Antonios Panayotopoulos and Panayiotis Vlamos, Cutting Degree of Meanders, Artificial Intelligence Applications and Innovations, IFIP Advances in Information and Communication Technology, Volume 382, 2012, pp 480-489; DOI 10.1007/978-3-642-33412-2_49. - From N. J. A. Sloane, Dec 29 2012

Formula

a(n) = A005315(n+1)^2.

Crossrefs

Cf. A005315, A192927, A207851.

Sequence in context: A264335 A091483 A263988 * A050636 A098698 A301583

Adjacent sequences: A208354 A208355 A208356 * A208358 A208359 A208360

Keyword

nonn

Author

Panayotis Vlamos and Antonios Panayotopoulos, Feb 25 2012

Extensions

More terms using the data at A005315 added by Amiram Eldar, Jun 09 2024

Status

approved