%I A062774
%S A062774 0,1,2,3,3,6,4,7,6,8,5,13,6,11,11,13,7,17,8,18,14,14,9,26,12,16,15,22,
%T A062774 10,29,11,24,18,19,18,35,12,21,20,34,13,37,14,30,29,24,15,47,19,32,24,
%U A062774 33,16,42,24,42,26,27,17,61,18,30,36,42,27,48,19,40,30,48,20,68,21,34
%N A062774 Inverse Moebius transform of PrimePi function.
%H A062774 Harry J. Smith, <a href="b062774.txt">Table of n, a(n) for n=1,...,1000</
               a>
%F A062774 a(n)=Sum {Pi(d)}, d divides n.
%e A062774 n = 12: divisors = D(12) = {1,2,3,4,6,12}, Pi[D(12)] = {0,1,2,2,3,5} 
               of which the sum is 0+1+2+2+3+5 = 13 so a(12) = 13; a(p[n]) = 0+n 
               = n, for n-th prime p[n].
%o A062774 (PARI) { for (n=1, 1000, d=divisors(n); write("b062774.txt", n, " ", 
               sum(k=1, length(d), primepi(d[k]))) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Aug 10 2009]
%Y A062774 Cf. A007444, A007445.
%Y A062774 Sequence in context: A021432 A141729 A049990 this_sequence A045892 A160791 
               A115973
%Y A062774 Adjacent sequences: A062771 A062772 A062773 this_sequence A062775 A062776 
               A062777
%K A062774 nonn
%O A062774 1,3
%A A062774 Labos E. (labos(AT)ana.sote.hu), Jul 18 2001
%E A062774 OFFSET changed from 0,3 to 1,3 by Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Aug 10 2009