This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A221176 #13 Dec 19 2024 12:30:00
%S A221176 1,16,272,4880,91920,1810192,37142288,791744272,17490370320,
%T A221176 399558315792,9421351690000,228916588400400,5723078052339472,
%U A221176 147025755978698512,3876566243300318992,104789417805394595600,2901159958960121863952,82188946843192555474704,2380551266738846355103504,70441182699006212824911632
%N A221176 a(n) = Sum_{i=0..n} Stirling2(n,i)*2^(4i).
%C A221176 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
%H A221176 Frank Simon, <a href="https://nbn-resolving.org/urn:nbn:de:bsz:14-qucosa-101154">Algebraic Methods for Computing the Reliability of Networks</a>, Dissertation, Doctor Rerum Naturalium (Dr. rer. nat.), Fakultät Mathematik und Naturwissenschaften der Technischen Universität Dresden, 2012. See Table 5.1.
%F A221176 E.g.f. exp(16*(exp(x) - 1)). - _Peter Bala_, Mar 23 2013
%t A221176 With[{nn=20},CoefficientList[Series[Exp[16 (Exp[x]-1)],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Dec 19 2024 *)
%Y A221176 Cf. A000110, A001861, A078944, A221159. A027710, A144180, A144223, A144263, A189233.
%K A221176 nonn
%O A221176 0,2
%A A221176 _N. J. A. Sloane_, Jan 04 2013