Search: id:A136743
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%I A136743
%S A136743 2,4,3,5,1,1,5,2,5,6,5,5,3,2,1,2,5,3,6,6,3,6,3,6,1,2,6,1,5,6,6,6,4,4,1,
%T A136743 6,4,5,6,4,1,1,5,5,2,1,6,3,4,5,6,7,4,6,1,1,6,4,7,6,6,6,3,7,1,2,6,1,5,2,
%U A136743 1,7,6,3,7,1,1,5,3,5,8,5,1,2,4,6,2,1,6,3,6,7,4,7,4,1,2,2,6,1,6,6,2,6,5
%N A136743 Number of prime factors in the n-th run of square-free numbers.
%C A136743 a(n) = A001221(A136742(n)) = A001222(A136742(n));
%C A136743 a(A136744(n)) = n and a(m) <> n for m < A136744(n).
%H A136743 R. Zumkeller, <a href="b136743.txt">Table of n, a(n) for n = 1..1000</
               a>
%H A136743 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Squarefree.html">Squarefree</a>
%F A136743 a(n) = SUM(A001221(A072284(n)+k): 0<=k<A120992(n)).
%e A136743 a(10)=A001221(A136742(10))=A001221(39270)=A001221(2*3*5*7*11*17)=6.
%Y A136743 Cf. A005117.
%Y A136743 Sequence in context: A050514 A133702 A080001 this_sequence A011387 A019656 
               A134017
%Y A136743 Adjacent sequences: A136740 A136741 A136742 this_sequence A136744 A136745 
               A136746
%K A136743 nonn
%O A136743 1,1
%A A136743 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 20 2008

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