%I A065395
%S A065395 0,1,1,3,5,1,8,1,0,1,14,5,22,4,7,15,25,12,31,3,12,6,28,1,12,16,23,4,48,
               9,56,
%T A065395 5,26,13,44,44,73,23,36,7,78,4,76,18,36,12,56,29,60,18,39,18,80,7,66,28,
               59,32,74,
%U A065395 17,138,40,43,63,100,6,112,27,52,12,120,36,159,55,30,43,136,12,136,3,10,
               54,102
%V A065395 0,-1,1,-3,5,-1,8,-1,0,1,14,-5,22,4,7,-15,25,-12,31,3,12,6,28,-1,12,16,
               23,4,48,-9,56,
%W A065395 -5,26,13,44,-44,73,23,36,7,78,-4,76,18,36,12,56,-29,60,-18,39,18,80,7,
               66,28,59,32,74,
%X A065395 -17,138,40,43,-63,100,-6,112,27,52,12,120,-36,159,55,30,43,136,12,136,
               3,10,54,102
%N A065395 Commutator of sigma and phi functions.
%C A065395 a(n)=Sigma[Phi[n]]-Phi[Sigma[n]] =A000203[A000010[n]]-A000010[A000203[n]].
%H A065395 Harry J. Smith, <a href="b065395.txt">Table of n, a(n) for n=1,...,1000</
               a>
%e A065395 n = 13: Sigma[13] = 14, Phi[14] = 6, Phi[13] = 12, Sigma[12] = 28, a(13) 
               = 28-6 = 22.
%o A065395 (PARI) { for (n=1, 1000, a=sigma(eulerphi(n)) - eulerphi(sigma(n)); write("b065395.txt", 
               n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Oct 18 2009]
%Y A065395 A000203, A000010, A033632
%Y A065395 Sequence in context: A152204 A114216 A086233 this_sequence A112411 A021970 
               A115335
%Y A065395 Adjacent sequences: A065392 A065393 A065394 this_sequence A065396 A065397 
               A065398
%K A065395 sign
%O A065395 1,4
%A A065395 Labos E. (labos(AT)ana.sote.hu), Nov 05 2001