%I A027848
%S A027848 1,19,85,311,631,1615,2409,4991,6898,11989,14653,26435,
%T A027848 28575,45771,53635,79887,83539,131062,130341,196241,204765,
%U A027848 278407,279865,424235,394406,542925,558778,749199,707311
%N A027848 Sum_{ d|n } sigma(n/d)*d^4.
%F A027848 Dirichlet g.f.: zeta(x-1)zeta(x-4)
%F A027848 Multiplicative with a(p^e) = (p^(4e+7) - (p^3+p^2+p+1)*p^(e+1) + p^2+p+1)/
               (p^7 - (p^3+p^2+p+1)*p + p^2+p+1). Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu) 
               Jun 27, 2005.
%o A027848 (PARI from Joerg Arndt (arndt(AT)jjj.de), May 03, 2008)
%o A027848 N=17; default(seriesprecision,N); x=z+O(z^(N+1))
%o A027848 c=sum(j=1,N,j*x^j);
%o A027848 t=1/prod(j=1,N, eta(x^(j))^(j^3))
%o A027848 t=log(t)
%o A027848 t=serconvol(t,c)
%o A027848 Vec(t)
%Y A027848 Sequence in context: A062639 A039609 A063496 this_sequence A039454 A142089 
               A124947
%Y A027848 Adjacent sequences: A027845 A027846 A027847 this_sequence A027849 A027850 
               A027851
%K A027848 nonn,mult
%O A027848 1,2
%A A027848 N. J. A. Sloane (njas(AT)research.att.com).