login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A217310 The number of meandering curves of order n, with only one extremity covered by its arcs. 3
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 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 25 17:22 EDT 2021. Contains 348255 sequences. (Running on oeis4.)