A276724 - OEIS

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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

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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.