A217310 The number of meandering curves of order n, with only one extremity covered by its arcs.

0, 0, 4, 4, 32, 38, 264, 342, 2288, 3134, 20740, 29526, 194916, 285458, 1885840, 2822310, 18682016, 28440970, 188717116, 291294678, 1937706144, 3025232480, 20173268632, 31797822936, 212530874156, 337731551446, 2262235585956, 3620119437762, 24297593488468

Offset

1,3

Comments

A meandering curve of order n is a continuous curve which does not intersect itself yet intersects a horizontal line n times.

References

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

Links

Panayotis Vlamos, Table of n, a(n) for n = 1..42

A. Panayotopoulos, P. Vlamos, Partitioning the Meandering Curves, Mathematics in Computer Science (2015) p 1-10.

Formula

a(n) = A223093(n) * A000034(n). - Andrew Howroyd, Dec 06 2015

Crossrefs

Cf. A005315.

Sequence in context: A270625 A271019 A271003 * A298681 A189743 A089542

Adjacent sequences: A217307 A217308 A217309 * A217311 A217312 A217313

Keyword

nonn

Author

Panayotis Vlamos, Antonios Panayotopoulos, Georgia Theocharopoulou, Mar 17 2013

Status

approved