%I A066053
%S A066053 1,6,36,236,1686,13028,108078,956348,8976708,88962160,927129786,
%T A066053 10125636716,115543526476,1373933166848,16985192456410,217851008508220,
%U A066053 2893517713599370,39732264695056772,563187218351672330
%N A066053 Stirling transform of A002457.
%F A066053 a(n) = sum(stirling2(n, k)*(2*k + 2)!/(2*k!*(k + 1)!), k = 0..n), n = 
               0, 1, ...; E.g.f.: exp(2*exp(x) - 2)*(BesselI(0, 2*exp(x) - 2) + 
               4*BesselI(0, 2*exp(x) - 2)*(exp(x) - 1) + 4*(exp(x) - 1)*BesselI(1, 
               2*exp(x) - 2))
%Y A066053 Cf. A002457
%Y A066053 Sequence in context: A144819 A099252 A057395 this_sequence A153824 A001286 
               A049431
%Y A066053 Adjacent sequences: A066050 A066051 A066052 this_sequence A066054 A066055 
               A066056
%K A066053 nonn
%O A066053 0,2
%A A066053 Karol A. Penson (penson(AT)lptl.jussieu.fr), Nov 30 2001