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A319781
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Number of multiset partitions of integer partitions of n with empty intersection. Number of relatively prime factorizations of Heinz numbers of integer partitions of n.
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16
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1, 0, 0, 1, 3, 9, 21, 48, 103, 214, 436, 863, 1689
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OFFSET
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0,5
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COMMENTS
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The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
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LINKS
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EXAMPLE
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The a(3) = 1 through a(5) = 9 multiset partitions:
3: {{1},{2}}
4: {{1},{3}}
{{2},{1,1}}
{{1},{1},{2}}
5: {{1},{4}}
{{2},{3}}
{{3},{1,1}}
{{1},{2,2}}
{{1},{1},{3}}
{{1},{2},{2}}
{{2},{1,1,1}}
{{1},{2},{1,1}}
{{1},{1},{1},{2}}
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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