login
A346015
Least integers of their prime signature (A025487) whose average number of distinct prime factors of their divisors is an integer.
2
1, 6, 210, 900, 1080, 1440, 30030, 69300, 83160, 110880, 5292000, 9261000, 9525600, 9699690, 15315300, 18378360, 24504480, 67737600, 170100000, 181440000, 244944000, 416215800, 435456000, 554954400, 756756000, 901800900, 1324323000, 1362160800, 6469693230, 6692786100
OFFSET
1,2
COMMENTS
Since f(k) = A346009(k)/A346010(k), the average number of distinct prime factors of the divisors of k, depends only on the prime signature of k, the sequence A346014 consists of all the numbers with the same prime signature of terms of this sequence.
LINKS
MATHEMATICA
lps = Cases[Import["https://oeis.org/A025487/b025487.txt", "Table"], {_, _}][[;; , 2]]; f[p_, e_] := e/(e + 1); d[1] = 1; d[n_] := Denominator[Plus @@ f @@@ FactorInteger[n]]; Select[lps, d[#] == 1 &]
CROSSREFS
Intersection of A025487 and A346014.
Sequence in context: A335715 A094805 A055193 * A001505 A327248 A084694
KEYWORD
nonn
AUTHOR
Amiram Eldar, Jul 01 2021
STATUS
approved