%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