A221176 a(n) = Sum_{i=0..n} Stirling2(n,i)*2^(4i).

1, 16, 272, 4880, 91920, 1810192, 37142288, 791744272, 17490370320, 399558315792, 9421351690000, 228916588400400, 5723078052339472, 147025755978698512, 3876566243300318992, 104789417805394595600, 2901159958960121863952, 82188946843192555474704, 2380551266738846355103504, 70441182699006212824911632

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

Links

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

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, 2012. See Table 5.1.

Formula

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

Mathematica

With[{nn=20}, CoefficientList[Series[Exp[16 (Exp[x]-1)], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Dec 19 2024 *)

Crossrefs

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

Sequence in context: A197622 A002303 A158610 * A231695 A363754 A004382

Adjacent sequences: A221173 A221174 A221175 * A221177 A221178 A221179

Keyword

nonn,changed

Author

N. J. A. Sloane, Jan 04 2013

Status

approved