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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A272519 Number of set partitions of [n] into seven blocks with distinct sizes. 2
 2431106898187968000, 8812762505931384000, 67144857188048640000, 416298114565901568000, 3144312274410635328000, 23728992530256389376000, 238675412699786289427200, 3207620559498676985664000, 16207982672116390803648000, 117220515926387332979520000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 28,1 LINKS Alois P. Heinz, Table of n, a(n) for n = 28..1000 FORMULA a(n) = n! * [x^n*y^7] Product_{n>=1} (1+y*x^n/n!). MAPLE b:= proc(n, i, t) option remember; `if`(t>i or t*(t+1)/2>n       or t*(2*i+1-t)/2n, 0, b(n-i, i-1, t-1)*binomial(n, i))))     end: a:= n-> b(n\$2, 7): seq(a(n), n=28..40); MATHEMATICA ﻿b[n_, i_, t_] := b[n, i, t] = If[t > i || t*(t + 1)/2 > n || t*(2*i + 1 - t)/2 < n, 0, If[n == 0, 1, b[n, i - 1, t] + If[i > n, 0, b[n - i, i - 1, t - 1]*Binomial[n, i]]]]; a[n_] := b[n, n, 7]; Table[a[n], {n, 28, 40}] (* Jean-François Alcover, May 24 2018, translated from Maple *) CROSSREFS Column k=7 of A131632. Sequence in context: A281509 A115539 A080129 * A246234 A274814 A323534 Adjacent sequences:  A272516 A272517 A272518 * A272520 A272521 A272522 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 May 23 03:50 EDT 2022. Contains 353959 sequences. (Running on oeis4.)