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 A373455 Number of interval posets of permutations of size n, considered up to isomorphism. 1

%I #10 Jun 07 2024 05:19:37

%S 1,1,2,6,15,43,124,379,1172,3730,12023,39388,130377,436066,1470271,

%T 4994083,17069343,58669677,202648664,703064353,2448871526,8560428736,

%U 30021944259,105602286616,372469127865,1317027839250,4667702488376,16578315095909

%N Number of interval posets of permutations of size n, considered up to isomorphism.

%C See Remark 21 in [Bouvel-Cioni-Izart].

%D Bridget E. Tenner. Interval Posets of Permutations. Order, 39(3):523-536, 2022.

%H Mathilde Bouvel, Lapo Cioni, and Benjamin Izart, <a href="https://arxiv.org/abs/2110.10000">The interval posets of permutations seen from the decomposition tree perspective</a>, arXiv:2110.10000 [math.CO], 2021-2024.

%H Bridget E. Tenner, <a href="https://arxiv.org/abs/2007.06142">Interval Posets for Permutations</a>, arXiv:2007.06142 [math.CO], 2020-2021.

%F Asymptotic behavior of a(n) is c*n^(-3/2)*r^n with c approximately 0.1964 and r approximately 3.7545. See M. Bouvel, L. Cioni, B. Izart (Remark 21).

%Y For the same posets but not considered up to isomorphism, see A348479.

%Y For the same posets which are in addition trees, see A373456.

%K nonn

%O 1,3

%A _Mathilde Bouvel_, Jun 06 2024

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Last modified September 7 23:15 EDT 2024. Contains 375749 sequences. (Running on oeis4.)