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
Keywords
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
- 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.
Extensions
More terms using the data at A005315 added by Amiram Eldar, Jun 09 2024