%I A101035
%S A101035 1,3,5,1,9,15,13,1,4,27,21,5,25,39,45,1,33,12,37,9,65,63,45,5,16,75,4,
               13,
%T A101035 57,135,61,1,105,99,117,4,73,111,125,9,81,195,85,21,36,135,93,5,36,48,
               165,
%U A101035 25,105,12,189,13,185,171,117,45,121,183,52,1,225,315,133,33,225,351,141,
               4
%V A101035 1,-3,-5,1,-9,15,-13,1,4,27,-21,-5,-25,39,45,1,-33,-12,-37,-9,65,63,-45,
               -5,16,75,4,-13,
%W A101035 -57,-135,-61,1,105,99,117,4,-73,111,125,-9,-81,-195,-85,-21,-36,135,-93,
               -5,36,-48,165,
%X A101035 -25,-105,-12,189,-13,185,171,-117,45,-121,183,-52,1,225,-315,-133,-33,
               225,-351,-141,4
%N A101035 Dirichlet inverse of the gcd-sum function (A018804).
%H A101035 G. P. Michon, <a href="http://www.numericana.com/answer/numbers.htm#multiplicative">
               Multiplicative Functions</a>.
%F A101035 Multiplicative function with a(p)=1-2p and a(p^e)=(p-1)^2 when e>1 [p 
               prime].
%e A101035 a(4)=1, a(8)=1, a(16)=1, a(32)=1, etc. because of the multiplicative 
               definition for powers of 2.
%Y A101035 Cf. A018804, A055615, A046692, A023900, A007427, A053822, A053825, A053826.
%Y A101035 Cf. A008683.
%Y A101035 Sequence in context: A115335 A054586 A112752 this_sequence A026253 A138259 
               A077021
%Y A101035 Adjacent sequences: A101032 A101033 A101034 this_sequence A101036 A101037 
               A101038
%K A101035 easy,nice,sign,mult
%O A101035 1,2
%A A101035 Gerard P. Michon (g.michon(AT)att.net), Nov 27 2004