%I A120992
%S A120992 3,3,2,3,1,1,3,1,3,3,3,3,2,1,1,1,3,2,3,3,2,3,2,3,1,1,3,1,3,3,3,3,2,2,1,
%T A120992 3,2,3,3,2,1,1,2,3,1,1,3,1,2,3,3,3,2,3,1,1,3,2,3,3,3,3,2,3,1,1,3,1,2,1,
%U A120992 1,3,3,2,3,1,1,2,2,3,3,2,1,1,2,3,1,1,3,2,3,3,2,3,2,1,1,1,3,1,3,3,1,3,2
%N A120992 Number of integers in n-th run of squarefree positive integers.
%C A120992 The values 1, 2 and 3 occur 309008, 251134 and 439858 times, respectively, 
               in the first 1000000 terms. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), 
               Jul 25 2006
%C A120992 1<=a(n)<=3; A136742(n)=PRODUCT(A072284(n)+k:0<=k<a(n)); A136743(n)=SUM(A001221(A072284(n)+k):0<=k<a(n)). 
               - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 20 2008
%H A120992 R. Zumkeller, <a href="b120992.txt">Table of n, a(n) for n = 1..1000</
               a>
%H A120992 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%H A120992 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Squarefree.html">Squarefree</a>
%e A120992 The runs of squarefree integers are as follows:
%e A120992 (1,2,3),(5,6,7),(10,11),(13,14,15),(17),(19),(21,22,23),...
%p A120992 with(numtheory): a:=proc(n) if mobius(n)=0 then n else fi end: A:=[0,
               seq(a(n),n=1..500)]: b:=proc(n) if A[n]-A[n-1]>1 then A[n]-A[n-1]-1 
               else fi end: seq(b(n),n=2..nops(A)); - Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               Jul 24 2006
%o A120992 (PARI) n=1; while(n<1000, c=0; while(issquarefree(n), n++; c++); print1(c,
               ", "); while(!issquarefree(n), n++)) - Rick L. Shepherd (rshepherd2(AT)hotmail.com), 
               Jul 25 2006
%Y A120992 Cf. A120993.
%Y A120992 Sequence in context: A113780 A007515 A014967 this_sequence A129979 A075017 
               A060586
%Y A120992 Adjacent sequences: A120989 A120990 A120991 this_sequence A120993 A120994 
               A120995
%K A120992 nonn
%O A120992 1,1
%A A120992 Leroy Quet Jul 21 2006
%E A120992 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu) and Rick L. 
               Shepherd (rshepherd2(AT)hotmail.com), Jul 25 2006