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 A344669 a(n) is the number of preference profiles in the stable marriage problem with n men and n women that generate the maximum possible number of stable matchings. 6
 1, 2, 1092, 144, 507254400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS From Dan Eilers, Dec 23 2023: (Start) A357271 provides the best known lower bounds for the maximum number of stable matchings of order n. A357269 provides exact results. (End) LINKS Table of n, a(n) for n=1..5. Matvey Borodin, Eric Chen, Aidan Duncan, Tanya Khovanova, Boyan Litchev, Jiahe Liu, Veronika Moroz, Matthew Qian, Rohith Raghavan, Garima Rastogi, and Michael Voigt, Sequences of the Stable Matching Problem, arXiv:2201.00645 [math.HO], 2021. FORMULA a(n) = A368433(n) * A010790(n-1). - Dan Eilers, Dec 24 2023 EXAMPLE For n=2, there are 16 possible preference profiles: 14 of them generate one stable matching and 2 of them generate two stable matchings. Thus, a(2) = 2. CROSSREFS Cf. A069124, A185141, A344666, A344667, A344668, A357269, A357271, A368433. Sequence in context: A108963 A152510 A324590 * A321633 A244550 A359952 Adjacent sequences: A344666 A344667 A344668 * A344670 A344671 A344672 KEYWORD nonn,bref,more AUTHOR Tanya Khovanova and MIT PRIMES STEP Senior group, May 27 2021 EXTENSIONS a(5) from Dan Eilers, Dec 23 2023 STATUS approved

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Last modified May 18 08:45 EDT 2024. Contains 372618 sequences. (Running on oeis4.)