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A115074 a(n) is the largest prime dividing the n-th nonsquarefree positive integer.

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%I A115074 #20 Feb 11 2021 03:56:30
%S A115074 2,2,3,3,2,3,5,3,5,3,7,2,3,5,11,5,3,7,5,13,3,7,5,7,2,17,3,5,19,5,3,7,
%T A115074 11,5,23,3,7,11,5,13,3,7,29,13,5,11,31,5,7,2,11,5,17,7,3,7,37,5,19,17,
%U A115074 13,5,3,41,7,13,19,43,7,11,5,23,47,7,3,7,11,5,17,23,13,53,3,11,7,5,19,29,13
%N A115074 a(n) is the largest prime dividing the n-th nonsquarefree positive integer.
%H A115074 Amiram Eldar, <a href="/A115074/b115074.txt">Table of n, a(n) for n = 1..10000</a>
%F A115074 a(n) = A006530(A013929(n)).
%e A115074 12, the 4th nonsquarefree positive integer, is 2^2 * 3. 3 is the largest prime dividing 12. So a(4) = 3.
%p A115074 with(numtheory): a:=proc(n) if mobius(n)=0 then op(nops(factorset(n)),factorset(n)) fi end: seq(a(n),n=1..270); # _Emeric Deutsch_, Mar 06 2006
%t A115074 FactorInteger[ # ][[ -1, 1]] & /@ Select[ Range@235, !SquareFreeQ@# &] (* _Robert G. Wilson v_, Mar 09 2006 *)
%Y A115074 Cf. A117183, A115090, A013929, A006530.
%K A115074 nonn
%O A115074 1,1
%A A115074 _Leroy Quet_, Mar 01 2006
%E A115074 More terms from _Emeric Deutsch_ and _Robert G. Wilson v_, Mar 06 2006