A358781 Number of multiset partitions of [1,1,1,1,2,2,2,2,...,n,n,n,n] into nonempty multisets.

1, 5, 109, 6721, 911838, 231575143, 99003074679, 66106443797808, 65197274052335504, 90954424202936106523, 173398227073956386079670, 439196881673194611574668282, 1443741072199958276777413001395

Offset

0,2

Comments

Generalization of Bell numbers to multiset partitions with m instances each of n different elements, here m=4.

References

F. Harary and E. Palmer, Graphical Enumeration, Academic Press, 1973.

Links

Table of n, a(n) for n=0..12.

Marko Riedel et al., Number of ways to partition a multiset into k non-empty multisets, Mathematics Stack Exchange.

Crossrefs

Cf. A358722, A020555, A322487.

Row n=4 of A219727.

Sequence in context: A012091 A322896 A296743 * A188457 A245106 A244004

Adjacent sequences: A358778 A358779 A358780 * A358782 A358783 A358784

Keyword

nonn

Author

Marko Riedel, Nov 29 2022

Status

approved