%I #30 Sep 25 2024 10:28:21
%S 256,768,1152,1280,1728,1792,2592,2816,3200,3328,3840,3888,4352,4864,
%T 5376,5760,5832,5888,6272,6561,7424,7936,8000,8064,8448,8640,8748,
%U 8960,9472,9600,9984,10496,11008,12032,12096,12672,12960,13056,13122,13568
%N Numbers k such that (number of prime factors of k counted with multiplicity) less (number of distinct prime factors of k) = 7.
%C The asymptotic density of this sequence is (6/Pi^2) * Sum_{k>=1} f(a(k)) = 0.0029589..., where f(k) = A112526(k) * Product_{p|k} p/(p+1). - _Amiram Eldar_, Sep 24 2024
%H Reinhard Zumkeller, <a href="/A195091/b195091.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)) = 7. - _Reinhard Zumkeller_, Nov 29 2015
%t Select[Range[14000],PrimeOmega[#]-PrimeNu[#]==7&]
%o (PARI) is(n)=bigomega(n)-omega(n)==7 \\ _Charles R Greathouse IV_, Sep 14 2015
%o (Haskell)
%o a195091 n = a195091_list !! (n-1)
%o a195091_list = filter ((== 7) . a046660) [1..]
%o -- _Reinhard Zumkeller_, Nov 29 2015
%Y Cf. A060687, A195069, A195086, A195087, A195088, A195089, A195090, A195092, A195093.
%Y Cf. A025487, A046660, A059956, A112526, A257851, A261256, A264959.
%K nonn,easy
%O 1,1
%A _Harvey P. Dale_, Sep 08 2011