Search: id:A038063
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%I A038063
%S A038063 2,3,2,3,6,11,18,30,56,105,186,335,630,1179,2182,4080,7710,
%T A038063 14588,27594,52377,99858,190743,364722,698870,1342176,2581425,
%U A038063 4971008,9586395,18512790,35792449,69273666,134215680,260300986
%V A038063 2,-3,2,-3,6,-11,18,-30,56,-105,186,-335,630,-1179,2182,-4080,7710,
%W A038063 -14588,27594,-52377,99858,-190743,364722,-698870,1342176,-2581425,
%X A038063 4971008,-9586395,18512790,-35792449,69273666,-134215680,260300986
%N A038063 Prod{k=1..inf}(1/(1-x^k)^a(k)) = 1+2x.
%C A038063 Apart from initial terms, exponents in expansion of A065472 as a product 
               zeta(n)^(-a(n)).
%H A038063 G. Niklasch, <a href="http://www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml">
               Some number theoretical constants: 1000-digit values</a>
%H A038063 N. J. A. Sloane, <a href="transforms.txt">Euler transform</a>
%F A038063 a(n) = 1/n*Sum_{d divides n} (-1)^(d+1)*mobius(n/d)*2^d. - Vladeta Jovovic 
               (vladeta(AT)eunet.rs), Sep 06 2002
%Y A038063 Cf. A038064-A038070, A065472.
%Y A038063 With n>1 and n=0, 1, 3 (mod 4), a(n)=A001037(n)=A059966(n)=A060477(n).
%Y A038063 Sequence in context: A064895 A120877 A089135 this_sequence A085204 A055375 
               A091533
%Y A038063 Adjacent sequences: A038060 A038061 A038062 this_sequence A038064 A038065 
               A038066
%K A038063 sign
%O A038063 1,1
%A A038063 Christian G. Bower (bowerc(AT)usa.net), Jan 04 1999.

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