The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A324933 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A324933

Denominator in the division of n by the product of prime indices of n.
(history; published version)

#9 by Bruno Berselli at Wed Apr 14 05:24:58 EDT 2021

STATUS

reviewed

approved

#8 by Joerg Arndt at Wed Apr 14 03:00:05 EDT 2021

STATUS

proposed

reviewed

#7 by Amiram Eldar at Wed Apr 14 02:25:14 EDT 2021

STATUS

editing

proposed

#6 by Amiram Eldar at Wed Apr 14 02:22:23 EDT 2021

LINKS

Amiram Eldar, <a href="/A324933/b324933.txt">Table of n, a(n) for n = 1..10000</a>

STATUS

approved

editing

#5 by Susanna Cuyler at Fri Mar 22 00:32:47 EDT 2019

STATUS

proposed

approved

#4 by Gus Wiseman at Thu Mar 21 09:55:32 EDT 2019

STATUS

editing

proposed

#3 by Gus Wiseman at Thu Mar 21 09:54:54 EDT 2019

NAME

Denominator in the division of n divided by the product of prime indices of n.

CROSSREFS

Cf. A003963, A061775, A109082, A109129, A120383, A196050, A317713, A324846, A324849, A324850, A324922, A324923, A324924, A324925, A324931, A324934.

#2 by Gus Wiseman at Thu Mar 21 03:55:31 EDT 2019

NAME

allocated for Gus WisemanDenominator of n divided by the product of prime indices of n.

DATA

1, 1, 2, 1, 3, 1, 4, 1, 4, 3, 5, 1, 6, 2, 2, 1, 7, 2, 8, 3, 8, 5, 9, 1, 9, 3, 8, 1, 10, 1, 11, 1, 10, 7, 12, 1, 12, 4, 4, 3, 13, 4, 14, 5, 4, 9, 15, 1, 16, 9, 14, 3, 16, 4, 3, 1, 16, 5, 17, 1, 18, 11, 16, 1, 18, 5, 19, 7, 6, 6, 20, 1, 21, 6, 6, 2, 20, 2, 22, 3

OFFSET

1,3

COMMENTS

A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798.

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

Table[n/Times@@Cases[If[n==1, {}, FactorInteger[n]], {p_, k_}:>PrimePi[p]^k], {n, 100}]//Denominator

CROSSREFS

The numerators are A324932.

Cf. A003963, A061775, A109082, A109129, A120383, A196050, A317713, A324846, A324849, A324850, A324922, A324923, A324924, A324925, A324931, A324934.

KEYWORD

allocated

nonn,frac

AUTHOR

Gus Wiseman, Mar 21 2019

STATUS

approved

editing

#1 by Gus Wiseman at Wed Mar 20 05:34:58 EDT 2019

NAME

allocated for Gus Wiseman

KEYWORD

allocated

STATUS

approved