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A344668 a(n) is the number of preference profiles in the stable marriage problem with n men and n women that generate exactly 1 possible stable matching. 3
1, 14, 34080, 65867261184 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
A069124(n) provides the lower bound for the maximum number of stable matchings with n men and n women. It is exact for n below 5.
LINKS
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.
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) = 14.
CROSSREFS
Sequence in context: A053870 A283840 A079176 * A013754 A073940 A164322
KEYWORD
nonn,more
AUTHOR
Tanya Khovanova and MIT PRIMES STEP Senior group, May 27 2021
STATUS
approved

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