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A208357 Number of meanders of order 2n+1 (4*n+2 crossings of the infinite line) with central 1-1 cut. 0
4, 64, 1764, 68644, 3341584, 190992400, 12310790116, 871343837764, 66469126179600, 5391179227622500 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

S. Lando and A. Zvokin, Plane and projective meanders, Theoret. Comput. Sci. 117 (1993), 227-241.

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

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

A. Panayotopoulos and P. Tsikouras, Meanders and Motzkin words, J. Integer Seq. 7 (2004), Article 04.1.2.

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

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

LINKS

Table of n, a(n) for n=1..10.

FORMULA

a(n) = b(n)^2 where b(n) = A005315 (with a different offset).

CROSSREFS

Cf. A005315, A192927, A207851.

Sequence in context: A264335 A091483 A263988 * A050636 A098698 A181398

Adjacent sequences:  A208354 A208355 A208356 * A208358 A208359 A208360

KEYWORD

nonn

AUTHOR

Panayotis Vlamos and Antonios Panayotopoulos, Feb 25 2012

STATUS

approved

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Last modified February 24 15:37 EST 2018. Contains 299623 sequences. (Running on oeis4.)