login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Number of prime factors in the n-th run of squarefree numbers.
6

%I #5 Mar 30 2012 18:50:59

%S 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,

%T 1,6,4,5,6,4,1,1,5,5,2,1,6,3,4,5,6,7,4,6,1,1,6,4,7,6,6,6,3,7,1,2,6,1,

%U 5,2,1,7,6,3,7,1,1,5,3,5,8,5,1,2,4,6,2,1,6,3,6,7,4,7,4,1,2,2,6,1,6,6,2,6,5

%N Number of prime factors in the n-th run of squarefree numbers.

%C a(n) = A001221(A136742(n)) = A001222(A136742(n));

%C a(A136744(n)) = n and a(m) <> n for m < A136744(n).

%H R. Zumkeller, <a href="/A136743/b136743.txt">Table of n, a(n) for n = 1..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Squarefree.html">Squarefree</a>

%F a(n) = SUM(A001221(A072284(n)+k): 0<=k < A120992(n)).

%e a(10)=A001221(A136742(10))=A001221(39270)=A001221(2*3*5*7*11*17)=6.

%Y Cf. A005117.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Jan 20 2008