A192927 Number of meanders of order n, with 1-1 cut.

0, 0, 4, 24, 152, 1056, 7884, 62336, 516060, 4435888, 39338456, 358164768, 3335087752, 31663393880, 305740631660, 2996450625216, 29756512979124, 298991371001192, 3036071594865808, 31123847225593944, 321822051245586716, 3353854189297573504, 35203483037473883368, 371948773494408980616, 3953755503217954761364

Offset

1,3

References

S. K. Lando and A. K. Zvonkin, Plane and projective meanders, Séries Formelles et Combinatoire Algebrique. Laboratoire Bordelais de Recherche Informatique, Universite Bordeaux I, 1991, pp. 287-303.

Links

Table of n, a(n) for n=1..25.

Iwan Jensen, Enumeration of plane meander, arXiv:cond-mat/9910313v1 [cond-mat.stat-mech], 1999.

I. Jensen, A transfer matrix approach to the enumeration of plane meanders, J. Phys. A 33, 5953-5963 (2000).

A. Panayotopoulos and P. Tsikouras, Meanders and Motzkin Words, J. Integer Seqs., Vol. 7, 2004.

A. Panayotopoulos and P. 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

Crossrefs

Sequence in context: A347915 A391895 A262407 * A003288 A390358 A178879

Adjacent sequences: A192924 A192925 A192926 * A192928 A192929 A192930

Keyword

nonn

Author

Panayotis Vlamos and Antonios Panayotopoulos, Aug 03 2011

Status

approved