login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A322881 Number of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals eight. 2
0, 1, 131, 2837, 36733, 392532, 3862958, 36745885, 346270455, 3276723147, 31384368348, 305668217577, 3035028866706, 30761374688048, 318435571825333, 3367380704425616, 36376061350280633, 401367264163810215, 4522617803400779891, 52030240381937090624 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..580

Wikipedia, Partition of a set

FORMULA

a(n) = A287258(n) - A287257(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))(8):

seq(a(n), n=8..30);

CROSSREFS

Column k=8 of A287215.

Cf. A287257, A287258.

Sequence in context: A144247 A161197 A254641 * A104596 A091743 A066621

Adjacent sequences:  A322878 A322879 A322880 * A322882 A322883 A322884

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 29 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 15 23:32 EDT 2020. Contains 335774 sequences. (Running on oeis4.)