A217310 - OEIS

%I #33 May 30 2026 16:40:38

%S 0,0,4,4,32,38,264,342,2288,3134,20740,29526,194916,285458,1885840,

%T 2822310,18682016,28440970,188717116,291294678,1937706144,3025232480,

%U 20173268632,31797822936,212530874156,337731551446,2262235585956,3620119437762,24297593488468

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

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

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

%H Panayotis Vlamos, <a href="/A217310/b217310.txt">Table of n, a(n) for n = 1..42</a>

%H A. Panayotopoulos, P. Vlamos, <a href="https://doi.org/10.1007/s11786-015-0234-0">Partitioning the Meandering Curves</a>, Mathematics in Computer Science (2015) p 1-10.

%F a(n) = A223093(n) * A000034(n). - _Andrew Howroyd_, Dec 06 2015

%Y Cf. A005315.

%K nonn

%O 1,3

%A _Panayotis Vlamos_, _Antonios Panayotopoulos_, Georgia Theocharopoulou, Mar 17 2013