%I A053825
%S A053825 1,9,28,8,126,252,344,0,27,1134,1332,224,2198,3096,3528,0,4914,
%T A053825 243,6860,1008,9632,11988,12168,0,125,19782,0,2752,24390,31752,
%U A053825 29792,0,37296,44226,43344,216,50654,61740,61544,0,68922,86688
%V A053825 1,-9,-28,8,-126,252,-344,0,27,1134,-1332,-224,-2198,3096,3528,0,-4914,
%W A053825 -243,-6860,-1008,9632,11988,-12168,0,125,19782,0,-2752,-24390,-31752,
%X A053825 -29792,0,37296,44226,43344,216,-50654,61740,61544,0,-68922,-86688
%N A053825 Dirichlet inverse of sigma_3 function (A001158).
%C A053825 sigma_3(n) is the sum of the cubes of the divisors of n (A001158).
%D A053825 T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 
               1976, page 39.
%F A053825 Dirichlet g.f.: 1/(zeta(x)zeta(x-3))
%F A053825 Multiplicative with a(p^1) = -1-p^3, a(p^2) = p^3, a(p^e) = 0 for e>=3. 
               Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu) Jun 27, 2005.
%Y A053825 Sequence in context: A124396 A020281 A075539 this_sequence A033479 A034116 
               A031454
%Y A053825 Adjacent sequences: A053822 A053823 A053824 this_sequence A053826 A053827 
               A053828
%K A053825 sign,mult
%O A053825 1,2
%A A053825 N. J. A. Sloane (njas(AT)research.att.com), Apr 08 2000