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%I #9 Aug 26 2018 20:13:05
%S 1,1,1,2,2,3,2,3,4,5,3,7,4,7,9,5,5,12,6,12,14,10,8,13,12,14,14,18,10,
%T 34
%N Number of non-isomorphic strict multiset partitions of a multiset whose multiplicities are the prime indices of n.
%F a(n) = A318357(A181821(n)).
%e Non-isomorphic representatives of the a(20) = 12 strict multiset partitions of {1,1,1,2,3}:
%e {{1,1,1,2,3}}
%e {{1},{1,1,2,3}}
%e {{2},{1,1,1,3}}
%e {{1,1},{1,2,3}}
%e {{1,2},{1,1,3}}
%e {{2,3},{1,1,1}}
%e {{1},{2},{1,1,3}}
%e {{1},{1,1},{2,3}}
%e {{1},{1,2},{1,3}}
%e {{2},{3},{1,1,1}}
%e {{2},{1,1},{1,3}}
%e {{1},{2},{3},{1,1}}
%Y Cf. A001055, A007716, A045778, A181821, A305936, A316980, A317533, A317776, A317791.
%Y Cf. A318283, A318284, A318285, A318286, A318357, A318362, A318371.
%K nonn,more
%O 1,4
%A _Gus Wiseman_, Aug 23 2018
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