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A014326 Convolution of partition numbers and Bell numbers. 1
1, 2, 5, 12, 32, 95, 328, 1294, 5748, 28152, 149768, 856130, 5218107, 33712600, 229800588, 1646316230, 12355374717, 96861192976, 791258805462, 6720627186126, 59234364203973, 540812222400025, 5106663817693176, 49798678281859244, 500857393911224861 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..500

MAPLE

with(combinat):

a:= n-> add(numbpart(k)*bell(n-k), k=0..n):

seq(a(n), n=0..30);  # Alois P. Heinz, Mar 15 2015

MATHEMATICA

a[n_] := Sum[PartitionsP[k]*BellB[n-k], {k, 0, n}]; Table[a[n], {n, 0, 30}] (* Jean-Fran├žois Alcover, Dec 06 2016 *)

CROSSREFS

Cf. A000041, A000110.

Sequence in context: A002838 A076822 A143657 * A148284 A148285 A115523

Adjacent sequences:  A014323 A014324 A014325 * A014327 A014328 A014329

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 21 04:40 EDT 2019. Contains 325189 sequences. (Running on oeis4.)