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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

Table of n, a(n) for n=1..64.

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

Cf. A003963, A109129, A120383, A196050, A324846, A324849, A324850, A324922, A324923, A324924, A324925, A324934.

Sequence in context: A284571 A124833 A181815 * A168521 A244982 A101468

Adjacent sequences:  A324928 A324929 A324930 * A324932 A324933 A324934

KEYWORD

nonn

AUTHOR

Gus Wiseman, Mar 21 2019

STATUS

approved

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Last modified April 10 11:32 EDT 2021. Contains 342845 sequences. (Running on oeis4.)