A287282 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A287282

Number of set partitions of [n] such that for each block all absolute differences between consecutive elements are <= ten.

1, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 678570, 4097622, 25397924, 160822256, 1036104634, 6767698121, 44684050607, 297472309232, 1992684291665, 13410441683599, 90565259407669, 613287083857871, 4161823459675655, 28288495888520998, 192520455386904133

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

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

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

Wikipedia, Partition of a set

FORMULA

a(n) = A287214(n,10).

a(n) = A000110(n) for n <= 11.

CROSSREFS

Column k=10 of A287214.