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 A328122 Number of rooted level-1 phylogenetic networks with n labeled leaves. 5
 1, 3, 36, 723, 20280, 730755, 32171580, 1673573895, 100442870640, 6831585584775, 519288366989700, 43626178967384475, 4014060030471090600, 401443860155706643275, 43359414126089609047500, 5030039291029886037279375, 623762332206315636458124000, 82340968923184527676400655375, 11528273478697179256689693556500 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Mathilde Bouvel, Philippe Gambette and Marefatollah Mansouri, Maple worksheet Mathilde Bouvel, Philippe Gambette and Marefatollah Mansouri, Counting Phylogenetic Networks of level 1 and 2, arXiv:1909.10460 [math.CO], 2019. FORMULA Bouvel, Gambette and Mansouri provide (among other results) a closed formula for a(n), an equation and a closed form for the associated exponential generating function, and an asymptotic estimate of a(n). See their Section 5. EXAMPLE a(4) = 723 is the number of rooted level-1 phylogenetic networks with 4 labeled leaves. MAPLE # see links section CROSSREFS Cf. A328121, A328123, A328126. Sequence in context: A224184 A241996 A006587 * A091482 A121245 A193754 Adjacent sequences:  A328119 A328120 A328121 * A328123 A328124 A328125 KEYWORD nonn AUTHOR Mathilde Bouvel, Oct 04 2019 STATUS approved

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Last modified August 14 13:43 EDT 2022. Contains 356117 sequences. (Running on oeis4.)