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A346015
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Least integers of their prime signature (A025487) whose average number of distinct prime factors of their divisors is an integer.
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2
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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
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OFFSET
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1,2
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COMMENTS
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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.
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LINKS
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MATHEMATICA
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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 &]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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