This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A344666 #13 Feb 11 2022 12:13:21 %S A344666 34080,11484,1092 %N A344666 a(n) is the number of preference profiles in the stable marriage problem with 3 men and 3 women that generate n possible stable matchings. %C A344666 A185141(n) is the total number of preference profiles for n men and n women. %C A344666 A185141(3) = 46656 is the sum of the terms of this sequence. %C A344666 For 2 men and 2 women, the total number of preference profiles is 16, where 14 profiles have 1 stable matching, and 2 profiles have 2 stable matchings. %C A344666 For 4 men and 4 women, the total number of preference profiles is 110075314176, where the number of possible stable matchings ranges from 1 to 10, excluding 9. The distribution is provided by sequence A344667(n). %H A344666 Matvey Borodin, Eric Chen, Aidan Duncan, Tanya Khovanova, Boyan Litchev, Jiahe Liu, Veronika Moroz, Matthew Qian, Rohith Raghavan, Garima Rastogi, and Michael Voigt, <a href="https://arxiv.org/abs/2201.00645">Sequences of the Stable Matching Problem</a>, arXiv:2201.00645 [math.HO], 2021. %Y A344666 Cf. A185141, A344667, A344668, A344669. %K A344666 nonn,bref,fini,full %O A344666 1,1 %A A344666 _Tanya Khovanova_ and MIT PRIMES STEP Senior group, May 27 2021