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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);

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

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Last modified January 28 07:07 EST 2020. Contains 331317 sequences. (Running on oeis4.)