A318357 Number of non-isomorphic strict multiset partitions of the multiset of prime indices of n.

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

Offset

1,6

Links

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

Example

Non-isomorphic representatives of the a(48) = 7 strict multiset partitions of {1,1,1,1,2}:
  {{1,1,1,1,2}}
  {{1},{1,1,1,2}}
  {{2},{1,1,1,1}}
  {{1,1},{1,1,2}}
  {{1,2},{1,1,1}}
  {{1},{2},{1,1,1}}
  {{1},{1,1},{1,2}}

Crossrefs

Cf. A001055, A007716, A045778, A056239, A112798, A316980, A317533, A317776, A317791, A318287.

Sequence in context: A056924 A342083 A316364 * A323091 A045778 A320889

Adjacent sequences: A318354 A318355 A318356 * A318358 A318359 A318360

Keyword

nonn

Author

Gus Wiseman, Aug 24 2018

Status

approved