login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A320559 Number of set partitions of [n] such that for each block b the smallest integer interval containing b has at most nine elements and for at least one block c the smallest integer interval containing c has exactly nine elements. 3
4140, 30751, 158766, 705926, 2928164, 11774145, 46852653, 186723275, 759062433, 3170429794, 13343960839, 56013146481, 233387096649, 963938933894, 3948441860748, 16062919807404, 65036845178255, 262641546675463, 1059920408695467, 4277149345637299 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 9..512

FORMULA

a(n) = A276725(n) - A276724(n).

MAPLE

b:= proc(n, m, l) option remember; `if`(n=0, 1,

      add(b(n-1, max(m, j), [subsop(1=NULL, l)[],

      `if`(j<=m, 0, j)]), j={l[], m+1} minus {0}))

    end:

A:= (n, k)-> `if`(n=0, 1, `if`(k<2, k, b(n, 0, [0$(k-1)]))):

a:= n-> (k-> A(n, k) -`if`(k=0, 0, A(n, k-1)))(9):

seq(a(n), n=9..40);

CROSSREFS

Column k=9 of A276727.

Cf. A276724, A276725, A320622.

Sequence in context: A346861 A251650 A270772 * A294058 A255948 A273658

Adjacent sequences:  A320556 A320557 A320558 * A320560 A320561 A320562

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 15 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 January 22 15:58 EST 2022. Contains 350481 sequences. (Running on oeis4.)