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

Author

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

Keywords

• nonn

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.

Crossrefs

Cf. A005315.

Formula

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