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A357767 Number of n X n tables where rows represent distinct permutations of { 1, 2, ..., n } and the column sums are equal, up to permutation of rows. 3
1, 1, 2, 102, 56904, 1926158520, 4018159809614880, 822978002850717919227120 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
FORMULA
a(n) = the coefficient of (x1*...*xn)^(n*(n-1)/2) in Product(1 + x1^(n-1)*x2^(n-2)*...*xn^0), where the product is taken over all permutations of the variables x1, ..., xn.
a(n) = A357766(n) / n!.
CROSSREFS
Sequence in context: A202740 A283624 A055693 * A215964 A106299 A176933
KEYWORD
hard,more,nonn
AUTHOR
Max Alekseyev, Oct 12 2022
STATUS
approved

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Last modified August 30 15:13 EDT 2024. Contains 375545 sequences. (Running on oeis4.)