A217310 - OEIS

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

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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