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

1,4

Links

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

Formula

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

Example

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.

Sequence in context: A350511 A324344 A059711 * A048621 A308048 A335967

Adjacent sequences: A318284 A318285 A318286 * A318288 A318289 A318290

Keyword

nonn,more

Author

Gus Wiseman, Aug 23 2018

Status

approved