A356724 Number of n X n tables where each row represents a permutation of { 1, 2, ..., n } and the column sums are equal, up to permutation of rows.

1, 1, 2, 114, 60024, 1951262760, 4029043460476320, 823357371521186302202640

Offset

1,3

Links

Table of n, a(n) for n=1..8.

Formula

a(n) = the coefficient of (x1*...*xn)^(n*(n-1)/2) in 1/Product(1 - x1^(n-1)*x2^(n-2)*...*xn^0), where the product is taken over all permutations of the variables x1, ..., xn.

Crossrefs

Cf. A356722, A356723, A356725.

Sequence in context: A008271 A362575 A209184 * A065670 A105327 A260334

Adjacent sequences: A356721 A356722 A356723 * A356725 A356726 A356727

Keyword

nonn,hard,more

Author

Max Alekseyev, Aug 25 2022

Status

approved