A318371 - OEIS

A318371

Number of non-isomorphic strict set multipartitions (sets of sets) of a multiset whose multiplicities are the prime indices of n.

%I #8 Aug 26 2018 20:12:05

%S 1,1,0,2,0,1,0,3,1,0,0,3,0,0,0,5,0,4,0,1,0,0,0,6,0,0,4,0,0,2

%N Number of non-isomorphic strict set multipartitions (sets of sets) of a multiset whose multiplicities are the prime indices of n.

%F a(n) = A318370(A181821(n)).

%e Non-isomorphic representatives of the a(24) = 6 strict set multipartitions of {1,1,2,3,4}:

%e {{1},{1,2,3,4}}

%e {{1,2},{1,3,4}}

%e {{1},{2},{1,3,4}}

%e {{1},{1,2},{3,4}}

%e {{2},{1,3},{1,4}}

%e {{1},{2},{3},{1,4}}

%Y Cf. A007716, A045778, A049311, A050326, A116539, A116540, A283877, A292432 A292444.

%Y Cf. A318283, A318285, A318287, A318360, A318361, A318362, A318369, A318370.

%K nonn,more

%O 1,4

%A _Gus Wiseman_, Aug 24 2018