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A318371 Number of non-isomorphic strict set multipartitions (sets of sets) of a multiset whose multiplicities are the prime indices of n. 5
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 (list; graph; refs; listen; history; text; internal format)
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: A242411 A286470 A243055 * A245151 A243978 A106844

Adjacent sequences:  A318368 A318369 A318370 * A318372 A318373 A318374

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, Aug 24 2018

STATUS

approved

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Last modified September 20 16:30 EDT 2019. Contains 327242 sequences. (Running on oeis4.)