A346015 Least integers of their prime signature (A025487) whose average number of distinct prime factors of their divisors is an integer.

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 the 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 consist of the all numbers with the same prime signature of terms of this sequence.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

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.

Cf. A346009, A346010.

Sequence in context: A335715 A094805 A055193 * A001505 A327248 A084694

Adjacent sequences: A346012 A346013 A346014 * A346016 A346017 A346018

Keyword

nonn

Author

Amiram Eldar, Jul 01 2021

Status

approved