A322487 Number of (3*n) X n matrices with nonnegative integer entries and each column sum being 3 up to permutation of rows.

1, 3, 31, 686, 27036, 1688360, 154703688, 19692332568, 3342458334775, 732812082630803, 202322386045180686, 68898094282978653925, 28443422251718020038049, 14029033632468285836567998, 8164217197799501761637725983, 5545466507405459243366712102466

Offset

0,2

Comments

Also number of multiset partitions of [1,1,1,2,2,2,...,n,n,n] into nonempty multisets. - Marko Riedel, Nov 29 2022

Links

Andrew Howroyd, Table of n, a(n) for n = 0..100

Example

a(1) = 3 because up to permutations of rows there are 3 column vectors with sum 3: [1, 1, 1], [2, 1, 0] and [3, 0, 0].

Crossrefs

Row n=3 of A219727.

Cf. A165434, A358721.

Sequence in context: A368489 A104841 A092552 * A300735 A196457 A136370

Adjacent sequences: A322484 A322485 A322486 * A322488 A322489 A322490

Keyword

nonn

Author

Andrew Howroyd, Dec 11 2018

Status

approved