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

Author

N. J. A. Sloane, Jan 04 2013

Keywords

• nonn

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

• 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.

Crossrefs

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

Programs

Mathematica

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

Formula

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