%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 [BouvelCioniIzart].
%D Bridget E. Tenner. Interval Posets of Permutations. Order, 39(3):523536, 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], 20212024.
%H Bridget E. Tenner, <a href="https://arxiv.org/abs/2007.06142">Interval Posets for Permutations</a>, arXiv:2007.06142 [math.CO], 20202021.
%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
