

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
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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



