%I #14 Aug 03 2020 01:30:46
%S 1,60,7140,60060,251940,360360,1369368,1225224,1531530,7873866,
%T 17687670,5819814,17160990,11085360,11741730,19399380,65564070,
%U 9699690,99533742,85804950,40562340,90485220,358888530,504894390,634956630,531990690,397687290,512942430,455885430,514083570
%N a(n) is the least positive integer k such that it has exactly n triples of divisors (d1, d2, d3) such that they are pairwise coprime and d1 < d2 < d3 < 2*d1.
%C Can we prove m is a divisor for all terms a(n) for n > N for some n? For example, are all terms from a(1) onwards divisible by 2?
%C For n > 0, it seems that 6|a(n) and a(n) is a Zumkeller number (A083207). Verified for n up to and including 29. - _Ivan N. Ianakiev_, Aug 02 2020
%e a(3) = 60060 as 60060 = 28 * 39 * 55 = 33 * 35 * 52 = 35 * 39 * 44 and no positive integer < 60060 has exactly 3 such triples.
%Y Cf. A333966, A336628.
%K nonn
%O 0,2
%A _David A. Corneth_, Jul 28 2020