The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A287281 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A287281

Number of set partitions of [n] such that for each block all absolute differences between consecutive elements are <= nine.
(history; published version)

#11 by Alois P. Heinz at Thu Dec 27 20:45:10 EST 2018

STATUS

editing

approved

#10 by Alois P. Heinz at Thu Dec 27 20:45:06 EST 2018

LINKS

Pierpaolo Natalini, Paolo Emilio Ricci, <a href="https://doi.org/10.3390/axioms7040071">New Bell-Sheffer Polynomial Sets</a>, Axioms 2018, 7(4), 71.

STATUS

approved

editing

#9 by Alois P. Heinz at Fri May 26 22:42:36 EDT 2017

STATUS

editing

approved

#8 by Alois P. Heinz at Fri May 26 22:42:32 EDT 2017

KEYWORD

nonn,easy,new

#7 by Alois P. Heinz at Fri May 26 22:42:17 EDT 2017

LINKS

Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>

#6 by Alois P. Heinz at Fri May 26 22:41:36 EDT 2017

LINKS

Alois P. Heinz, <a href="/A287281/a287281.txt">G.f. for A287281</a>

FORMULA

G.f.: see link above.

STATUS

approved

editing

#5 by Alois P. Heinz at Thu May 25 21:01:26 EDT 2017

STATUS

editing

approved

#4 by Alois P. Heinz at Thu May 25 21:01:01 EDT 2017

LINKS

Alois P. Heinz, <a href="/A287281/b287281.txt">Table of n, a(n) for n = 0..1000</a>

STATUS

approved

editing

#3 by Alois P. Heinz at Mon May 22 16:18:40 EDT 2017

STATUS

editing

approved

#2 by Alois P. Heinz at Mon May 22 15:06:38 EDT 2017

NAME

allocated Number of set partitions of [n] such that for Alois Peach block all absolute differences between consecutive elements are <= nine. Heinz

DATA

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

OFFSET

0,3

LINKS

Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>

FORMULA

a(n) = A287214(n,9).

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

CROSSREFS

Column k=9 of A287214.

Cf. A000110.

KEYWORD

allocated

nonn

AUTHOR

Alois P. Heinz, May 22 2017

STATUS

approved

editing