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 A303867 Number of noncrossing path sets on 4*n nodes up to rotation and reflection with each path having exactly 4 nodes. 4
 1, 2, 21, 494, 18086, 794696, 38695548, 2015556488, 110292751866, 6267709291736, 367003473639464, 22018423100856184, 1347856204419978236, 83918845269760695536, 5300972002005297517812, 339058084617031980524000, 21924124400037221008705338, 1431303944222490626674244672 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Andrew Howroyd, Table of n, a(n) for n = 0..200 Math StackExchange, Question from user Matan at math.stackexchange.com: Number of ways to connect sets of k dots in a perfect n-gon FORMULA a(n) ~ 2^(11*n - 5/2) / (sqrt(Pi) * n^(5/2) * 3^(3*n + 3/2)). - Vaclav Kotesovec, Jun 01 2022 CROSSREFS Column 4 of A302828. Cf. A303330, A303839, A303866. Sequence in context: A192666 A090451 A199747 * A238696 A226057 A158886 Adjacent sequences: A303864 A303865 A303866 * A303868 A303869 A303870 KEYWORD nonn AUTHOR Andrew Howroyd, May 01 2018 STATUS approved

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Last modified September 7 20:21 EDT 2024. Contains 375749 sequences. (Running on oeis4.)