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

Author

Alois P. Heinz, May 22 2017

Keywords

• nonn

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

Crossrefs

Column k=10 of A287214.

Cf. A000110.

Formula

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

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