A318362 Number of non-isomorphic set multipartitions (multisets of sets) of a multiset whose multiplicities are the prime indices of n.

1, 1, 1, 2, 1, 2, 1, 3, 3, 2, 1, 5, 1, 2, 3, 5, 1, 7, 1, 5, 3, 2, 1, 9, 4, 2, 8, 5, 1, 10

Offset

1,4

Links

Table of n, a(n) for n=1..30.

Formula

a(n) = A318369(A181821(n)).

Example

Non-isomorphic representatives of the a(12) = 5 set multipartitions of {1,1,2,3}:
  {{1},{1,2,3}}
  {{1,2},{1,3}}
  {{1},{1},{2,3}}
  {{1},{2},{1,3}}
  {{1},{1},{2},{3}}

Crossrefs

Cf. A007716, A049311, A116540, A181821, A317791.

Cf. A318283, A318285, A318287, A318360, A318361, A318369, A318371.

Sequence in context: A078899 A055172 A187445 * A390762 A213237 A029334

Adjacent sequences: A318359 A318360 A318361 * A318363 A318364 A318365

Keyword

nonn,more

Author

Gus Wiseman, Aug 24 2018

Status

approved