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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.), Fakultät Mathematik und Naturwissenschaften der Technischen Universität 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 October 15 15:14 EDT 2019. Contains 328030 sequences. (Running on oeis4.)