OFFSET
0,3
COMMENTS
Also the number of multiset partitions of constant multiset partitions of integer partitions of n.
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..10000
FORMULA
a(n) ~ exp(Pi*sqrt(2*n/3)) / (2*n*sqrt(3)). - Vaclav Kotesovec, Jan 28 2019
EXAMPLE
The a(4) = 14 multiset partitions of constant multiset partitions:
((1111)) ((22)) ((4)) ((31)) ((211))
((11)(11)) ((2)(2))
((11))((11)) ((2))((2))
((1)(1)(1)(1))
((1))((1)(1)(1))
((1)(1))((1)(1))
((1))((1))((1)(1))
((1))((1))((1))((1))
MATHEMATICA
Join[{1}, Table[Sum[PartitionsP[d]*PartitionsP[n/d], {d, Divisors[n]}], {n, 1, 100}]]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jan 27 2019
STATUS
approved