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A322487
Number of (3*n) X n matrices with nonnegative integer entries and each column sum being 3 up to permutation of rows.
6
1, 3, 31, 686, 27036, 1688360, 154703688, 19692332568, 3342458334775, 732812082630803, 202322386045180686, 68898094282978653925, 28443422251718020038049, 14029033632468285836567998, 8164217197799501761637725983, 5545466507405459243366712102466
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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:
A380513
A104841
A092552
*
A300735
A196457
A136370
Adjacent sequences:
A322484
A322485
A322486
*
A322488
A322489
A322490
KEYWORD
nonn
AUTHOR
Andrew Howroyd
, Dec 11 2018
STATUS
approved