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A344667 a(n) is the number of preference profiles in the stable marriage problem with 4 men and 4 women that generate n possible stable matchings. 3
65867261184, 35927285472, 7303612896, 861578352, 111479616, 3478608, 581472, 36432, 0, 144 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A185141(n) is the total number of preference profiles for n men and n women.

A185141(4) = 110075314176 is the sum of the terms of this sequence.

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.

For 3 men and 3 women, the total number of preference profiles is 46656, where the number of possible stable matchings ranges from 1 to 3. The distribution is provided by sequence A344666(n).

LINKS

Table of n, a(n) for n=1..10.

CROSSREFS

Cf. A185141, A344666, A344668, A344669.

Sequence in context: A250866 A185188 A185890 * A186610 A186619 A186611

Adjacent sequences:  A344664 A344665 A344666 * A344668 A344669 A344670

KEYWORD

nonn,fini,full

AUTHOR

Tanya Khovanova and MIT PRIMES STEP Senior group, May 27 2021

STATUS

approved

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Last modified December 2 22:46 EST 2021. Contains 349445 sequences. (Running on oeis4.)