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A221176 a(n) = Sum_{i=0..n} Stirling2(n,i)*2^(4i). 7
1, 16, 272, 4880, 91920, 1810192, 37142288, 791744272, 17490370320, 399558315792, 9421351690000, 228916588400400, 5723078052339472, 147025755978698512, 3876566243300318992, 104789417805394595600, 2901159958960121863952, 82188946843192555474704, 2380551266738846355103504, 70441182699006212824911632 (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 16 labeled boxes. - Peter Bala, Mar 23 2013

REFERENCES

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, http://www.qucosa.de/fileadmin/data/qucosa/documents/10115/DissertationFrankSimon.pdf, 2012. See Table 5.1.

LINKS

Table of n, a(n) for n=0..19.

FORMULA

E.g.f. exp(16*(exp(x) - 1)). - Peter Bala, Mar 23 2013

CROSSREFS

Cf. A000110, A001861, A078944, A221159. A027710, A144180, A144223, A144263, A189233.

Sequence in context: A197622 A002303 A158610 * A231695 A004382 A204955

Adjacent sequences:  A221173 A221174 A221175 * A221177 A221178 A221179

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jan 04 2013

STATUS

approved

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Last modified January 15 18:58 EST 2019. Contains 319170 sequences. (Running on oeis4.)