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A287281 Number of set partitions of [n] such that for each block all absolute differences between consecutive elements are <= nine. 4
1, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 657423, 3827518, 22762925, 137649001, 843059144, 5212898020, 32457312604, 203096802134, 1275403897840, 8030979290267, 50672180941765, 320201670174878, 2025623521511803, 12824705758528817, 81244888488645467 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Alois P. Heinz, G.f. for A287281

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,9).

a(n) = A000110(n) for n <= 10.

CROSSREFS

Column k=9 of A287214.

Cf. A000110.

Sequence in context: A229226 A276726 A287588 * A287259 A287671 A164864

Adjacent sequences:  A287278 A287279 A287280 * A287282 A287283 A287284

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, May 22 2017

STATUS

approved

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Last modified October 14 02:29 EDT 2019. Contains 327995 sequences. (Running on oeis4.)