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

1,6

Links

Table of n, a(n) for n=1..87.

Example

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.

Sequence in context: A370817 A345926 A096825 * A007875 A323437 A339887

Adjacent sequences: A318366 A318367 A318368 * A318370 A318371 A318372

Keyword

nonn

Author

Gus Wiseman, Aug 24 2018

Status

approved