A074853 - OEIS

%I #8 Oct 16 2015 10:27:16

%S 900,1764,4356,4900,6084,7560,10404,11025,11880,12100,12996,13440,

%T 14040,16632,16900,18360,19044,19656,20520,21000,21120,23716,24840,

%U 24960,25704,27225,28728,28900,29568,30276,30888,31320,32640,33000

%N Numbers n not in A065036 but such that tau(n)=omega(n)^3.

%C If k is in A065036 tau(k)=omega(k)^3, since k=p^3*q and there are 8 divisors of k: 1, p, q, p^2, p^3, p*q, p^2*q, p^3*q while omega(k)^3=2^3=8

%H Charles R Greathouse IV, <a href="/A074853/b074853.txt">Table of n, a(n) for n = 1..10000</a>

%o (PARI) is(n)=my(f=factor(n)); numdiv(f)==omega(f)^3 && f[,2]!=[3,1]~ && f[,2]!=[1,3]~ \\ _Charles R Greathouse IV_, Oct 16 2015

%K nonn

%O 1,1

%A _Benoit Cloitre_, Sep 10 2002