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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
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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: A343671 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 21 14:46 EDT 2024. Contains 376988 sequences.
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