Search: id:A053826
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%I A053826
%S A053826 1,17,82,16,626,1394,2402,0,81,10642,14642,1312,28562,40834,51332,
%T A053826 0,83522,1377,130322,10016,196964,248914,279842,0,625,485554,0,
%U A053826 38432,707282,872644,923522,0,1200644,1419874,1503652,1296,1874162
%V A053826 1,-17,-82,16,-626,1394,-2402,0,81,10642,-14642,-1312,-28562,40834,51332,
%W A053826 0,-83522,-1377,-130322,-10016,196964,248914,-279842,0,625,485554,0,
%X A053826 -38432,-707282,-872644,-923522,0,1200644,1419874,1503652,1296,-1874162
%N A053826 Dirichlet inverse of sigma_4 function (A001159).
%C A053826 sigma_4(n) is the sum of the 4th powers of the divisors of n (A001159).
%D A053826 T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 
               1976, page 39.
%F A053826 Dirichlet g.f.: 1/(zeta(x)zeta(x-4))
%F A053826 Multiplicative with a(p^1) = -1-p^4, a(p^2) = p^4, a(p^e) = 0 for e>=3. 
               Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu) Jun 27, 2005.
%Y A053826 Sequence in context: A100688 A044204 A044585 this_sequence A088687 A034678 
               A065960
%Y A053826 Adjacent sequences: A053823 A053824 A053825 this_sequence A053827 A053828 
               A053829
%K A053826 sign,mult
%O A053826 1,2
%A A053826 N. J. A. Sloane (njas(AT)research.att.com), Apr 08 2000

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