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An integer k, k >=3, is included if d(k) = d(k-1)*d(k-2), where d(k) is the number of divisors of k.
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%I #12 Jul 17 2019 09:33:18

%S 3,24,120,150,195,216,294,312,399,440,459,525,540,558,570,615,630,663,

%T 693,696,744,759,774,858,999,1032,1095,1125,1152,1176,1239,1350,1455,

%U 1470,1494,1608,1624,1659,1664,1710,1725,1734,1785,1860,1880,1896,1914

%N An integer k, k >=3, is included if d(k) = d(k-1)*d(k-2), where d(k) is the number of divisors of k.

%C Terms calculated by _M. F. Hasler_.

%H Amiram Eldar, <a href="/A175115/b175115.txt">Table of n, a(n) for n = 1..10000</a>

%t Transpose[Select[Partition[Range[2000], 3, 1], DivisorSigma[0, Last[#]] == DivisorSigma[0, First[#]] * DivisorSigma[0, #[[2]]]&]][[1]] + 2 (* _Amiram Eldar_, Jul 17 2019 after _Harvey P. Dale_ at A175116 *)

%Y Cf. A000005, A175116, A145469.

%K nonn

%O 1,1

%A _Leroy Quet_, Feb 13 2010