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

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.

Cf. A000110.

Sequence in context: A192866 A229227 A287589 * A287260 A287672 A203641

Adjacent sequences: A287279 A287280 A287281 * A287283 A287284 A287285

Keyword

nonn

Author

Alois P. Heinz, May 22 2017

Status

approved