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A223096 Number of symmetric meander shapes with 2n+1 crossings. 3

%I #32 Feb 02 2018 03:24:12

%S 1,1,2,5,13,36,102,299,889,2698,8267,25684,80349,253872,806334,

%T 2580279,8290645,26794566,86881179,283034120,924521718,3031535538,

%U 9962795554

%N Number of symmetric meander shapes with 2n+1 crossings.

%C Number of symmetric foldings of 2n+1 stamps (A007822) in which end leaves are outwards. [_Stéphane Legendre_, Apr 09 2013]

%H Stéphane Legendre, <a href="/A223096/a223096.pdf">Illustration of initial terms</a>

%H S. Legendre, <a href="http://arxiv.org/abs/1302.2025">Foldings and Meanders</a>, arXiv preprint arXiv:1302.2025 [math.CO], 2013.

%H S. Legendre, <a href="http://ajc.maths.uq.edu.au/pdf/58/ajc_v58_p275.pdf">Foldings and Meanders</a>, Aust. J. Comb. 58(2), 275-291, 2014.

%H <a href="/index/Fo#fold">Index entries for sequences obtained by enumerating foldings</a>

%Y Cf. A007822, A077055.

%K nonn,more

%O 0,3

%A _N. J. A. Sloane_, Mar 30 2013

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Last modified June 11 09:38 EDT 2024. Contains 373298 sequences. (Running on oeis4.)