A318369 Number of non-isomorphic set multipartitions (multisets of sets) of the multiset of prime indices of n.

1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 1, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 5, 1, 2, 2, 1, 2, 3, 1, 2, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 2, 1, 2, 1, 5, 2, 2, 2

Offset: 1

Author

Gus Wiseman, Aug 24 2018

Keywords

• nonn

Examples

			Non-isomorphic representatives of the a(180) = 7 set multipartitions of {1,1,2,2,3}:
  {{1,2},{1,2,3}}
  {{1},{2},{1,2,3}}
  {{1},{1,2},{2,3}}
  {{3},{1,2},{1,2}}
  {{1},{1},{2},{2,3}}
  {{1},{2},{3},{1,2}}
  {{1},{1},{2},{2},{3}}
		

Crossrefs

Cf. A001055, A007716, A056239, A112798, A049311, A116540, A317791, A318360, A318361.