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A324931 Integers in the list of quotients of positive integers by their product of prime indices. 17
1, 2, 4, 3, 8, 6, 16, 12, 7, 5, 32, 9, 24, 14, 10, 64, 18, 48, 28, 20, 128, 36, 19, 13, 21, 15, 96, 27, 56, 40, 256, 72, 38, 26, 11, 42, 30, 192, 54, 112, 17, 80, 512, 144, 76, 52, 22, 84, 60, 384, 49, 23, 35, 53, 108, 37, 224, 25, 57, 39, 34, 160, 63, 1024 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
These quotients are given by A324932(n)/A324933(n).
This is a permutation of the positive integers, with inverse A324934.
LINKS
FORMULA
a(n) = A324850(n)/A003963(A324850(n)).
EXAMPLE
The sequence of quotients n/A003963(n) begins: 1, 2, 3/2, 4, 5/3, 3, 7/4, 8, 9/4, 10/3, 11/5, 6, 13/6, 7/2, 5/2, 16, ...
MATHEMATICA
Select[Table[n/Times@@Cases[If[n==1, {}, FactorInteger[n]], {p_, k_}:>PrimePi[p]^k], {n, 100}], IntegerQ]
CROSSREFS
Sequence in context: A284571 A124833 A181815 * A168521 A244982 A101468
KEYWORD
nonn
AUTHOR
Gus Wiseman, Mar 21 2019
STATUS
approved

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Last modified August 31 17:50 EDT 2024. Contains 375572 sequences. (Running on oeis4.)