OFFSET
0,3
COMMENTS
Also number of n-partite partitions of {n}^n into n-tuples. a(2) = 9: [(2,2)], [(2,1),(0,1)], [(2,0),(0,2)], [(2,0),(0,1),(0,1)], [(1,2),(1,0)], [(1,1),(1,1)], [(1,1),(1,0),(0,1)], [(1,0),(1,0),(0,2)], [(1,0),(1,0),(0,1),(0,1)].
Also number of partitions of the multiset with n copies each of 1,2,...,n. a(2) = 9: 1122, 11|22, 12|12, 1|122, 112|2, 11|2|2, 1|1|22, 1|12|2, 1|1|2|2.
EXAMPLE
a(2) = 9: (2*3)^2 = A002110(2)^2 = 36 has 9 factorizations: 36, 3*12, 4*9, 3*3*4, 2*18, 6*6, 2*3*6, 2*2*9, 2*2*3*3.
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Dec 11 2018
EXTENSIONS
a(10) from Andrew Howroyd, Dec 11 2018
STATUS
approved