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%I #28 May 06 2024 11:03:45
%S 1,2,6,24,116,642,3938,26194,186042,1395008,10948768,89346128,
%T 754062288,6553942722,58457558394,533530004810,4970471875914,
%U 47169234466788,455170730152340,4459456443328824,44300299824885392,445703524836260400,4536891586511660256,46682404846719083048,485158560873624409904,5089092437784870584576,53845049871942333501408
%N The number of generic rectangulations with n rectangles.
%H Andrei Asinowski, Jean Cardinal, Stefan Felsner, and Éric Fusy, <a href="https://arxiv.org/abs/2402.01483">Combinatorics of rectangulations: Old and new bijections</a>, arXiv:2402.01483 [math.CO], 2023. See p. 11 and p. 27.
%H Jean Cardinal and Vincent Pilaud, <a href="https://arxiv.org/abs/2404.17349">Rectangulotopes</a>, arXiv:2404.17349 [math.CO], 2024. See p. 18.
%H CombOS - Combinatorial Object Server, <a href="http://combos.org/rect">Generate generic rectangulations</a>
%H Éric Fusy, Erkan Narmanli, and Gilles Schaeffer, <a href="https://arxiv.org/abs/2105.06955">On the enumeration of plane bipolar posets and transversal structures</a>, arXiv:2105.06955 [math.CO], 2021-2023. See p. 16.
%H Arturo Merino and Torsten Mütze, <a href="https://arxiv.org/abs/2103.09333">Combinatorial generation via permutation languages. III. Rectangulations</a>, arXiv:2103.09333 [math.CO], 2021.
%H Nathan Reading, <a href="https://arxiv.org/abs/1105.3093">Generic rectangulations</a>, arXiv:1105.3093 [math.CO], 2011-2012.
%Y Cf. A049021, A340984.
%K nonn
%O 1,2
%A _Peter Kagey_, Mar 01 2021
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