A318371 Number of non-isomorphic strict set multipartitions (sets of sets) of a multiset whose multiplicities are the prime indices of n.

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

Offset: 1

Author

Gus Wiseman, Aug 24 2018

Keywords

• nonn
• more

Examples

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

Crossrefs

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

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

Formula

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