%I #30 Sep 25 2024 10:28:29
%S 64,192,288,320,432,448,648,704,729,800,832,960,972,1088,1216,1344,
%T 1440,1458,1472,1568,1856,1984,2000,2016,2112,2160,2240,2368,2400,
%U 2496,2624,2752,3008,3024,3168,3240,3264,3392,3520,3600,3645,3648,3744,3776,3872,3904
%N Numbers k such that (number of prime factors of k counted with multiplicity) less (number of distinct prime factors of k) = 5.
%C The asymptotic density of this sequence is (6/Pi^2) * Sum_{k>=1} f(a(k)) = 0.0118439..., where f(k) = A112526(k) * Product_{p|k} p/(p+1). - _Amiram Eldar_, Sep 24 2024
%H Reinhard Zumkeller, <a href="/A195089/b195089.txt">Table of n, a(n) for n = 1..10000</a>
%H <a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a>.
%F A046660(a(n)) = 5. - _Reinhard Zumkeller_, Nov 29 2015
%t Select[Range[4000],PrimeOmega[#]-PrimeNu[#]==5&]
%o (PARI) is(n)=bigomega(n)-omega(n)==5 \\ _Charles R Greathouse IV_, Sep 14 2015
%o (Haskell)
%o a195089 n = a195089_list !! (n-1)
%o a195089_list = filter ((== 5) . a046660) [1..]
%o -- _Reinhard Zumkeller_, Nov 29 2015
%Y Cf. A060687, A195069, A195086, A195087, A195088, A195090, A195091, A195092, A195093.
%Y Cf. A025487, A046660, A059956, A112526, A257851, A261256, A264959.
%K nonn,easy
%O 1,1
%A _Harvey P. Dale_, Sep 08 2011