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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A272497 Number of ordered set partitions of [n] with nondecreasing block sizes and maximal block size equal to seven. 2
 1, 8, 108, 1200, 15510, 194832, 2749032, 39402792, 614555370, 9964468800, 172686804576, 3129181488576, 60039964804248, 1204868044448640, 25426155055055040, 560350692475352064, 12919636322380914984, 310342487192287684992, 7768115419959585662400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 7,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 7..450 FORMULA E.g.f.: x^7 * Product_{i=1..7} (i-1)!/(i!-x^i). MAPLE b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,        b(n, i-1)+`if`(i>n, 0, binomial(n, i)*b(n-i, i))))     end: a:= n-> (k-> b(n, k) -b(n, k-1))(7): seq(a(n), n=7..30); CROSSREFS Column k=7 of A262071. Sequence in context: A326101 A300807 A301446 * A215129 A234571 A120975 Adjacent sequences:  A272494 A272495 A272496 * A272498 A272499 A272500 KEYWORD nonn AUTHOR Alois P. Heinz, May 01 2016 STATUS approved

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

Last modified August 13 18:03 EDT 2022. Contains 356107 sequences. (Running on oeis4.)