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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A327828 Sum of multinomials M(n; lambda), where lambda ranges over all partitions of n into parts incorporating 2. 2
 0, 0, 1, 3, 18, 100, 705, 5166, 44856, 413316, 4297635, 47906650, 586050828, 7669704978, 108433645502, 1632017808435, 26240224612920, 446861879976600, 8063224431751719, 153335328111105282, 3070484092409318100, 64508501542986638550, 1420061287311444508962 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..450 FORMULA a(n) ~ c * n!, where c = A247551/2 = 1.26473873603957632409005807712697712... - Vaclav Kotesovec, Sep 28 2019 MAPLE b:= proc(n, i, k) option remember; `if`(n=0, 1,      `if`(i>n, 0, b(n, i+1, `if`(i=k, 0, k))+      `if`(i=k, 0, b(n-i, i, k)*binomial(n, i))))     end: a:= n-> b(n, 1, 0)-b(n, 1, 2): seq(a(n), n=0..23); MATHEMATICA b[n_, i_, k_] := b[n, i, k] = If[n == 0, 1, If[i > n, 0, b[n, i + 1, If[i == k, 0, k]] + If[i == k, 0, b[n - i, i, k] Binomial[n, i]]]]; a[n_] := b[n, 1, 0] - b[n, 1, 2]; a /@ Range[0, 23] (* Jean-François Alcover, Dec 18 2020, after Alois P. Heinz *) CROSSREFS Column k=2 of A327801. Sequence in context: A321032 A180036 A038158 * A009021 A303519 A124408 Adjacent sequences:  A327825 A327826 A327827 * A327829 A327830 A327831 KEYWORD nonn AUTHOR Alois P. Heinz, Sep 26 2019 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.

Last modified September 17 03:42 EDT 2021. Contains 347478 sequences. (Running on oeis4.)