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A129598 a(n) = n * A111089(n).

%I A129598 #17 Jan 23 2015 16:58:22
%S A129598 2,4,9,8,25,18,49,16,27,50,121,36,169,98,75,32,289,54,361,100,147,242,
%T A129598 529,72,125,338,81,196,841,150,961,64,363,578,245,108,1369,722,507,
%U A129598 200,1681,294,1849,484,225,1058,2209,144,343,250,867,676,2809,162,605
%N A129598 a(n) = n * A111089(n).
%C A129598 Conjecture: differs from A050399 at the positions given by A089966. E.g., a(15)=75, instead of A050399(15)=225, a(30)=150, instead of A050399(30)=450, a(33)=363, instead of A050399(33)=1089, a(45)=225, instead of A050399(45)=1225. Conjecture 2: for all n > 1, a(n) divides A050399(n).
%H A129598 Antti Karttunen, <a href="/A129598/b129598.txt">Table of n, a(n) for n = 1..10000</a>
%H A129598 G. Guninski, <a href="http://stefan.guninski.com/cgi/oeis-quad.cgi?q=A129598&amp;full=1">List of automatically found conjectural relations between this and other sequences</a>
%F A129598 a(1) = 2; for n >= 2, a(n) = A253560(n).
%t A129598 Join[{2},Table[n*Last@(First/@FactorInteger[n]),{n,2,200}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 08 2011 *)
%Y A129598 Row 2 of A129595.
%Y A129598 Essentially the same as A253560, except that here we have a(1) = 2.
%Y A129598 Cf. also A050399, A089966, A111089, A072995.
%K A129598 nonn
%O A129598 1,1
%A A129598 _Antti Karttunen_, May 01 2007