login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A221159 a(n) = Sum_{i=0..n} Stirling2(n,i)*2^(3i). 11
1, 8, 72, 712, 7624, 87496, 1067976, 13781448, 187104200, 2661876168, 39549629384, 611918940616, 9834596715464, 163824830616008, 2823080829871048, 50238768569014728, 921839901090823112, 17416746966515278280, 338394913332895863752, 6753431112631087835592, 138296031340416209103816 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The number of ways of putting n labeled balls into a set of bags and then putting the bags into 8 labeled boxes. - Peter Bala, Mar 23 2013

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Frank Simon, Algebraic Methods for Computing the Reliability of Networks, Dissertation, Doctor Rerum Naturalium (Dr. rer.  nat.), Fakult├Ąt Mathematik und Naturwissenschaften der Technischen Universit├Ąt Dresden, 2012. See Table 5.1.

FORMULA

E.g.f. exp(8*(exp(x) - 1)). - Peter Bala, Mar 23 2013

a(n) ~ n^n * exp(n/LambertW(n/8)-8-n) / (sqrt(1+LambertW(n/8)) * LambertW(n/8)^n). - Vaclav Kotesovec, Mar 12 2014

MATHEMATICA

Table[BellB[n, 8], {n, 0, 20}] (* Vaclav Kotesovec, Mar 12 2014 *)

CROSSREFS

Cf. A000110, A001861, A078944, A221176, A027710, A144180, A144223, A144263, A189233.

Sequence in context: A220741 A165323 A082366 * A049388 A014479 A013992

Adjacent sequences:  A221156 A221157 A221158 * A221160 A221161 A221162

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jan 04 2013

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 25 18:12 EST 2018. Contains 299655 sequences. (Running on oeis4.)