OFFSET
1,3
COMMENTS
a(n) is the number of women's ranking tables in the stable marriage problem that can be paired with a men's ranking table having no two men with the same first choice, without forming any mutual first choices. It has two terms: (n-1)^n from A065440(n), and (n-1)!^n from A091868(n-1). Such men's ranking tables having no two men with the same first choice arise in A343694, A343475, and A344663.
MATHEMATICA
Table[(n-1)^n*(n-1)!^n, {n, 1, 9}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Dan Eilers, Feb 19 2022
STATUS
approved