A287279 Number of set partitions of [n] such that for each block all absolute differences between consecutive elements are <= seven.

1, 1, 2, 5, 15, 52, 203, 877, 4140, 20270, 102004, 523700, 2726840, 14332663, 75789343, 402290332, 2140945657, 11413941169, 60921661218, 325417158033, 1739114057259, 9297387238139, 49715367098205, 265879355474309, 1422070344597675, 7606514013820659

Offset

0,3

Links

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

Alois P. Heinz, G.f. for A287279

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.

a(n) = A287214(n,7).

a(n) = A000110(n) for n <= 8.

Crossrefs

Column k=7 of A287214.

Cf. A000110.

Sequence in context: A343668 A276724 A287586 * A287257 A287669 A099263

Adjacent sequences: A287276 A287277 A287278 * A287280 A287281 A287282

Keyword

nonn,easy

Author

Alois P. Heinz, May 22 2017

Status

approved