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A292444
Number of non-isomorphic finite multisets that cannot be expressed as the multiset-union of a set of sets.
9
0, 1, 1, 2, 3, 5, 6, 9, 12, 17, 22
OFFSET
1,4
COMMENTS
Non-isomorphic finite multisets correspond to integer partitions. For example, the partition (3221) corresponds to the multiset {1,1,1,2,2,3,3,4}.
Problem: Is this sequence equal to A258939 or to A035948?
EXAMPLE
Representatives of the a(7) = 6 multisets are: {1,1,1,1,1,1,1}, {1,1,1,1,1,1,2}, {1,1,1,1,1,2,2}, {1,1,1,1,1,2,3}, {1,1,1,1,2,2,2}, {1,1,1,1,2,2,3}.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Oct 02 2017
STATUS
approved