A276724 Number of set partitions of [n] such that for each block b the smallest integer interval containing b has at most eight elements.

1, 1, 2, 5, 15, 52, 203, 877, 4140, 17007, 64077, 231180, 821132, 2918753, 10483154, 38264066, 142423894, 533308705, 1995314365, 7437442700, 27604521795, 102095937121, 376790770192, 1389739254904, 5130664114644, 18964932885093, 70170215134155, 259770146382666

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Alois P. Heinz, G.f. for A276724

Pierpaolo Natalini, Paolo Emilio Ricci, New Bell-Sheffer Polynomial Sets, Axioms 2018, 7(4), 71.

Wikipedia, Partition of a set

Formula

G.f.: see link above.

Crossrefs

Column k=8 of A276719.

Cf. A276842, A276898.

Sequence in context: A108305 A229224 A343668 * A287586 A287279 A287257

Adjacent sequences: A276721 A276722 A276723 * A276725 A276726 A276727

Keyword

nonn,easy

Author

Alois P. Heinz, Sep 16 2016

Status

approved