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%I #7 Aug 26 2018 20:12:13
%S 1,1,1,0,1,2,1,0,0,2,1,1,1,2,2,0,1,1,1,1,2,2,1,0,0,2,0,1,1,3,1,0,2,2,
%T 2,1,1,2,2,0,1,3,1,1,1,2,1,0,0,1,2,1,1,0,2,0,2,2,1,3,1,2,1,0,2,3,1,1,
%U 2,3,1,0,1,2,1,1,2,3,1,0,0,2,1,3,2,2,2
%N Number of non-isomorphic strict set multipartitions (sets of sets) of the multiset of prime indices of n.
%e Non-isomorphic representatives of the a(180) = 4 strict set multipartitions of {1,1,2,2,3}:
%e {{1,2},{1,2,3}}
%e {{1},{2},{1,2,3}}
%e {{1},{1,2},{2,3}}
%e {{1},{2},{3},{1,2}}
%Y Cf. A007716, A045778, A049311, A050326, A056239, A112798, A116539, A116540, A292432, A292444, A293511, A318284, A318360, A318369.
%K nonn
%O 1,6
%A _Gus Wiseman_, Aug 24 2018