%I A065371
%S A065371 1,1,1,1,2,1,3,1,1,2,6,1,7,3,2,1,10,1,11,2,3,6,14,1,4,7,1,3,19,2,20,1,
%T A065371 6,10,6,1,25,11,7,2,28,3,29,6,2,14,32,1,9,4,10,7,37,1,12,3,11,19,42,2,
%U A065371 43,20,3,1,14,6,48,10,14,6,51,1,52,25,4,11,18,7,57,2,1,28,60,3,20,29
%N A065371 a(1) = 1, a(prime(i)) = prime(i) - i for i > 0 and a(u * v) = a(u) * 
               a(v) for u, v > 0.
%C A065371 a(n) > 0 and a(n) < n for all n > 1.
%e A065371 a(210) = a(2*3*5*7) = a(2)*a(3)*a(5)*a(7) = (prime(1)-1)*(prime(2)-2)*(prime(3)-3)*(prime(4)-4) 
               = (2-1)*(3-2)*(5-3)*(7-4) = 1*1*2*3 = 6.
%Y A065371 A000040, A014689, A065372, A065373, A065374.
%Y A065371 Sequence in context: A007740 A117811 A051793 this_sequence A006346 A088742 
               A144220
%Y A065371 Adjacent sequences: A065368 A065369 A065370 this_sequence A065372 A065373 
               A065374
%K A065371 mult,nonn
%O A065371 1,5
%A A065371 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 01 2001