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%I #8 Aug 26 2018 20:12:39
%S 1,1,1,2,1,2,1,3,3,2,1,5,1,2,3,5,1,7,1,5,3,2,1,9,4,2,8,5,1,10
%N Number of non-isomorphic set multipartitions (multisets of sets) of a multiset whose multiplicities are the prime indices of n.
%F a(n) = A318369(A181821(n)).
%e Non-isomorphic representatives of the a(12) = 5 set multipartitions of {1,1,2,3}:
%e {{1},{1,2,3}}
%e {{1,2},{1,3}}
%e {{1},{1},{2,3}}
%e {{1},{2},{1,3}}
%e {{1},{1},{2},{3}}
%Y Cf. A007716, A049311, A116540, A181821, A317791.
%Y Cf. A318283, A318285, A318287, A318360, A318361, A318369, A318371.
%K nonn,more
%O 1,4
%A _Gus Wiseman_, Aug 24 2018