%I A069097
%S A069097 1,5,11,22,29,55,55,92,105,145,131,242,181,275,319,376,305,525,379,638,
%T A069097 605,655,551,1012,745,905,963,1210,869,1595,991,1520,1441,1525,1595,
%U A069097 2310,1405,1895,1991,2668,1721,3025,1891,2882,3045,2755,2255,4136,2737
%N A069097 Moebius transform of f[x]=x*sigma[x].
%C A069097 Equals A127569 * [1, 2, 3,...] - Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Jan 19 2007
%C A069097 Equals row sums of triangle A143309 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Aug 06 2008]
%C A069097 Equals row sums of triangle A143312 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Aug 06 2008]
%F A069097 a(n) = Sum_{d|n} d^2*phi(n/d). - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Jul 31 2002
%F A069097 a(n) = Sum_{k=1..n} gcd(n, k)^2. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Aug 27 2003
%o A069097 (PARI) for(n=1,100,print1((sumdiv(n,k,k*sigma(k)*moebius(n/k))),","))
%Y A069097 Cf. A033457, A068963.
%Y A069097 Cf. A127569.
%Y A069097 Cf. A143309, A143312. [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 
               06 2008]
%Y A069097 Sequence in context: A166863 A163704 A131898 this_sequence A024921 A152533 
               A161896
%Y A069097 Adjacent sequences: A069094 A069095 A069096 this_sequence A069098 A069099 
               A069100
%K A069097 easy,nonn,mult
%O A069097 1,2
%A A069097 Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 05 2002