A318287 Number of non-isomorphic strict multiset partitions of a multiset whose multiplicities are the prime indices of n.

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, 34

Offset: 1

Author

Gus Wiseman, Aug 23 2018

Keywords

• nonn
• more

Examples

			Non-isomorphic representatives of the a(20) = 12 strict multiset partitions of {1,1,1,2,3}:
  {{1,1,1,2,3}}
  {{1},{1,1,2,3}}
  {{2},{1,1,1,3}}
  {{1,1},{1,2,3}}
  {{1,2},{1,1,3}}
  {{2,3},{1,1,1}}
  {{1},{2},{1,1,3}}
  {{1},{1,1},{2,3}}
  {{1},{1,2},{1,3}}
  {{2},{3},{1,1,1}}
  {{2},{1,1},{1,3}}
  {{1},{2},{3},{1,1}}
		

Crossrefs

Cf. A001055, A007716, A045778, A181821, A305936, A316980, A317533, A317776, A317791.

Cf. A318283, A318284, A318285, A318286, A318357, A318362, A318371.

Formula

a(n) = A318357(A181821(n)).