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EXAMPLE
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Non-isomorphic representatives of the a(2) = 1 through a(5) = 7 multiset partitions whose part-sizes have a common divisor:
{{1,1}} {{1,1,1}} {{1,1,1,1}} {{1,1,1,1,1}}
{{1,2}} {{1,2,2}} {{1,1,2,2}} {{1,1,2,2,2}}
{{1,2,3}} {{1,2,2,2}} {{1,2,2,2,2}}
{{1,2,3,3}} {{1,2,2,3,3}}
{{1,2,3,4}} {{1,2,3,3,3}}
{{1,1},{1,1}} {{1,2,3,4,4}}
{{1,1},{2,2}} {{1,2,3,4,5}}
{{1,2},{1,2}}
{{1,2},{2,2}}
{{1,2},{3,3}}
{{1,2},{3,4}}
{{1,3},{2,3}}
Non-isomorphic representatives of the a(2) = 1 through a(5) = 7 multiset partitions with periodic multiset union:
{{1,1}} {{1,1,1}} {{1,1,1,1}} {{1,1,1,1,1}}
{{1},{1}} {{1},{1,1}} {{1,1,2,2}} {{1},{1,1,1,1}}
{{1},{1},{1}} {{1},{1,1,1}} {{1,1},{1,1,1}}
{{1,1},{1,1}} {{1},{1},{1,1,1}}
{{1},{1,2,2}} {{1},{1,1},{1,1}}
{{1,1},{2,2}} {{1},{1},{1},{1,1}}
{{1,2},{1,2}} {{1},{1},{1},{1},{1}}
{{1},{1},{1,1}}
{{1},{1},{2,2}}
{{1},{2},{1,2}}
{{1},{1},{1},{1}}
{{1},{1},{2},{2}}
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