|
|
REFERENCES
|
V. I. Arnol'd, A branched covering of CP^2->S^4, hyperbolicity and projective topology [ Russian ], Sibir. Mat. Zhurn., 29 (No. 2, 1988), 36-47 = Siberian Math. J., 29 (1988), 717-725.
B. Bobier and J. Sawada, A fast algorithm to generate open meandric systems and meanders, ACM Transactions on Algorithms, Vol. 6, No. 2, 2010, article #42.
Franz, Reinhard O. W. and Earnshaw, Berton A. A constructive enumeration of meanders. Ann. Comb. 6 (2002), no. 1, 7-17.
I. Jensen, A transfer matrix approach to the enumeration of plane meanders. J. Phys. A 33, 5953-5963 (2000).
I. Jensen and A. J. Guttmann, Critical exponents of plane meanders. J. Phys. A 33, L187-L192 (2000).
S. K. Lando and A. K. Zvonkin, Plane and projective meanders, S\'{e}ries Formelles et Combinatoire Alg\'{e}brique. Laboratoire Bordelais de Recherche Informatique, Universit\'{e} Bordeaux I, 1991, pp. 287-303.
S. K. Lando and A. K. Zvonkin, Meanders, Selecta Mathematica Sovietica, Vol. 11, Number 2, pp. 117-144, 1992.
S. K. Lando and A. K. Zvonkin, Plane and projective meanders, Theoretical Computer Science Vol. 117, p227-241, 1993.
A. Phillips, Simple Alternating Transit Mazes, preprint. Abridged version appeared as ``La topologia dei labirinti,'' in M. Emmer, editor, L'Occhio di Horus: Itinerari nell'Imaginario Matematico. Istituto della Enciclopedia Italia, Rome, 1989, pp. 57-67.
V. R. Pratt, personal communication.
J. A. Reeds and L. A. Shepp, An upper bound on the meander constant, preprint, May 25, 1999. [Obtains upper bound of 13.01]
M. A. Sainte-Lagu\"{e}, Les R\'{e}seaux (ou Graphes)}, M\'{e}morial des Sciences Math\'{e}matiques, Fasc. 18, Gauthier-Villars, Paris, 1926, p. 47.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
For additional references see A005316.
|
|
|
LINKS
|
I. Jensen, Table of n, a(n) for n = 0..24 [from link below]
R. Bacher, Meander algebras
David Bevan, Random Closed Meanders [From David Bevan, Jun 25 2010]
P. Di Francesco, O. Golinelli and E. Guitter, Meander, folding and arch statistics.
P. Flajolet and R. Sedgewick, Analytic Combinatorics, 2009; see page 525
Erich Friedman, Illustration of initial terms
I. Jensen, Home page
I. Jensen, More terms
I. Jensen, Enumeration of plane meanders
Michael La Croix, Approaches to the Enumerative Theory of Meanders, 2003.
A. Panayotopoulos and P. Tsikouras, Meanders and Motzkin Words, J. Integer Seqs., Vol. 7, 2004.
A. Phillips, Mazes
A. Phillips, Simple, Alternating, Transit Mazes
N. J. A. Sloane, My favorite integer sequences, in Sequences and their Applications (Proceedings of SETA '98).
|