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

1,4

Links

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

Formula

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

Example

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.

Sequence in context: A286470 A243055 A359358 * A363157 A363952 A245151

Adjacent sequences: A318368 A318369 A318370 * A318372 A318373 A318374

Keyword

nonn,more

Author

Gus Wiseman, Aug 24 2018

Status

approved