The On-Line Encyclopedia of Integer Sequences (OEIS)

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A287588

Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks and between consecutive elements within the blocks are not larger than nine.
(history; published version)

#6 by Alois P. Heinz at Fri May 26 20:52:16 EDT 2017

STATUS

editing

approved

#5 by Alois P. Heinz at Fri May 26 20:52:10 EDT 2017

NAME

Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks and between consecutive elements within the blocks are not larger than nine.

#4 by Alois P. Heinz at Fri May 26 20:51:46 EDT 2017

FORMULA

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

CROSSREFS

Cf. A000110.

#3 by Alois P. Heinz at Fri May 26 20:11:40 EDT 2017

LINKS

Alois P. Heinz, <a href="/A287588/b287588.txt">Table of n, a(n) for n = 0..1000</a>

#2 by Alois P. Heinz at Fri May 26 19:31:44 EDT 2017

NAME

allocated for Alois P. Heinz

Number of set partitions of [n] such that absolute differences between least elements of consecutive blocks and between consecutive elements within the blocks are not larger than nine.

DATA

1, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 657422, 3827003, 22740552, 137213894, 837118303, 5146402217, 31802294171, 197197352995, 1225688654009, 7632924133053, 47595564684961, 297036512468620, 1854733471252332, 11584802491032094, 72372543412986244

OFFSET

0,3

LINKS

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

CROSSREFS

Column k=9 of A287417.

KEYWORD

allocated

nonn

AUTHOR

Alois P. Heinz, May 26 2017

STATUS

approved

editing

#1 by Alois P. Heinz at Fri May 26 17:19:02 EDT 2017

NAME

allocated for Alois P. Heinz

KEYWORD

allocated

STATUS

approved