%I A053635
%S A053635 0,2,6,12,24,40,84,140,288,540,1080,2068,4224,8216,16548,32880,65856,
%T A053635 131104,262836,524324,1049760,2097480,4196412,8388652,16782048,
%U A053635 33554600,67117128,134218836,268452240,536870968,1073777040,2147483708
%N A053635 Sum_{d|n} phi(d)*2^(n/d).
%D A053635 T. Pisanski, D. Schattschneider and B. Servatius, Applying Burnside's 
               lemma to a one-dimensional Escher problem, Math. Mag., 79 (2006), 
               167-180. See v(n).
%F A053635 a(n) = n * A000031(n).
%p A053635 with(numtheory); A053685:=n->add( phi(n/d)*2^d, d in divisors(n)); [From 
               N. J. A. Sloane, Nov 21 2009]
%Y A053635 Cf. A053634, A053636. Twice A034738.
%Y A053635 Sequence in context: A002336 A030625 A029929 this_sequence A054061 A118224 
               A003680
%Y A053635 Adjacent sequences: A053632 A053633 A053634 this_sequence A053636 A053637 
               A053638
%K A053635 nonn,new
%O A053635 0,2
%A A053635 N. J. A. Sloane (njas(AT)research.att.com), Mar 23 2000