Search: id:A079627
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%I A079627
%S A079627 0,0,1,1,0,2,0,2,1,1,3,2,1,1,1,3,0,1,0,0,1,1,3,4,0,1,0,0,0,4,0,2,1,5,0,
               0,3,0,1,1,
%T A079627 0,0,0,0,0,7,6,1,0,2,1,0,1,1,1,1,0,0,1,1,1,7,0,0,1,5,2,2,0,0,0,1,0,0,2,
               0,5,0,0,2,0,
%U A079627 1,0,2,1,3,2,1,1,0,2,2,1,0,2,0,5,0,4,4,2,1,2,1,0,3
%V A079627 0,0,1,1,0,2,0,2,1,-1,3,2,-1,1,1,3,0,1,0,0,1,1,3,4,0,-1,0,0,0,4,0,2,-1,
               5,0,0,3,0,-1,1,
%W A079627 0,0,0,0,0,7,6,1,0,-2,1,0,1,1,1,1,0,0,1,-1,-1,7,0,0,1,5,2,2,0,0,0,1,0,
               0,2,0,5,0,0,2,0,
%X A079627 -1,0,-2,-1,3,2,1,1,0,2,2,1,0,2,0,5,0,4,4,2,1,2,1,0,3
%N A079627 Sum(mu(m) : prime(n) < m < prime(n+1)), where mu is the Moebius function 
               (A008683).
%C A079627 a(n) = A002321(A000040(n+1)-1) - A002321(A000040(n)).
%e A079627 n=16: adding mu(m) for A000040(16)=53 < m < A000040(17)=59: a(16) = mu(54)+mu(55)+mu(56)+mu(57)+mu(58) 
               = mu(2*3^3)+mu(5*11)+mu(7*2^3)+mu(3*19)+mu(2*29) = 0+(-1)*(-1)+0+(-1)*(-1)+(-1)*(-1) 
               = 1+1+1 = 3.
%Y A079627 Sequence in context: A029399 A046069 A055651 this_sequence A061398 A080232 
               A008482
%Y A079627 Adjacent sequences: A079624 A079625 A079626 this_sequence A079628 A079629 
               A079630
%K A079627 sign
%O A079627 1,6
%A A079627 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 30 2003

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