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%I #18 Dec 23 2024 21:58:59
%S 180,252,300,360,396,450,468,504,540,588,600,612,684,700,720,756,792,
%T 828,882,900,936,980,1008,1044,1080,1100,1116,1176,1188,1200,1224,
%U 1260,1300,1332,1350,1368,1400,1404,1440,1452,1476,1500,1512,1548,1575,1584,1620,1656
%N a(n) = Sqrt(A378984(n)).
%C Distinct from A350372; a(20) = 900 is not in A350372.
%C Proper subset of A126706, intersects A286708.
%H Michael De Vlieger, <a href="/A378430/b378430.txt">Table of n, a(n) for n = 1..10000</a>
%t s = Union@ Select[Flatten@ Table[a^2*b^3, {b, Surd[#, 3]}, {a, Sqrt[#/b^3]}] &[2^21], IntegerQ@ Sqrt[#] &];
%t t = Select[s, Length@ Select[FactorInteger[#][[All, -1]], # > 2 &] >= 2 &];
%t Map[Sqrt, Select[t, PrimeOmega[#] > PrimeNu[#] > 2 &] ]
%Y Cf. A126706, A286708, A350372, A378984.
%K nonn,easy,new
%O 1,1
%A _Michael De Vlieger_, Dec 23 2024