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A322882 Number of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals nine. 2
0, 1, 259, 7851, 123693, 1517480, 16628928, 172861375, 1757583339, 17780116911, 180778826049, 1858914009077, 19407229306905, 206203531592425, 2232778235440364, 24655217395787251, 277719538910592762, 3191229583066629810, 37404691679158439649 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 9..579

Wikipedia, Partition of a set

FORMULA

a(n) = A287259(n) - A287258(n).

MAPLE

b:= proc(n, k, m, l) option remember; `if`(n<1, 1,

     `if`(l-n>k, 0, b(n-1, k, m+1, n))+m*b(n-1, k, m, l))

    end:

A:= (n, k)-> b(n-1, min(k, n-1), 1, n):

a:= n-> (k-> A(n, k)-A(n, k-1))(9):

seq(a(n), n=9..30);

CROSSREFS

Column k=9 of A287215.

Cf. A287258, A287259.

Sequence in context: A043376 A038480 A254642 * A256594 A229433 A022221

Adjacent sequences:  A322879 A322880 A322881 * A322883 A322884 A322885

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 29 2018

STATUS

approved

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Last modified April 25 18:12 EDT 2019. Contains 322461 sequences. (Running on oeis4.)