The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A046971 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A046971

Maximal value of number of unitary divisors (see A034444) for integers in binary order range of n.
(history; published version)

#17 by Joerg Arndt at Sun Apr 28 05:36:12 EDT 2019

STATUS

reviewed

approved

#16 by Michel Marcus at Sun Apr 28 01:24:24 EDT 2019

STATUS

proposed

reviewed

#15 by Wesley Ivan Hurt at Sat Apr 27 21:04:05 EDT 2019

STATUS

editing

proposed

#14 by Wesley Ivan Hurt at Sat Apr 27 21:03:59 EDT 2019

CROSSREFS

Cf. A002110, A029837, A034444, A002110, A045716.

STATUS

proposed

editing

#13 by Jon E. Schoenfield at Sat Apr 27 20:41:09 EDT 2019

STATUS

editing

proposed

#12 by Jon E. Schoenfield at Sat Apr 27 20:41:06 EDT 2019

COMMENTS

Q_k the k-th primorial number (A002110) is the smallest positive integer such that its whose number of unitary divisors (A034444) is 2^k. Thus the binary orders (A029837) of primorial numbers (A045716) determines determine the maximal values of unitary divisors in binary order ranges.

FORMULA

2^k occurs in the sequence g(Q_k) - g(Q_k-1)+1 times, where g is the binary order and Q_k is the k-th primorial number.

STATUS

approved

editing

#11 by N. J. A. Sloane at Tue Oct 15 22:30:21 EDT 2013

AUTHOR

Labos E. (labos(AT)ana.sote.hu)

Labos Elemer

Discussion

Tue Oct 15

22:30

OEIS Server: https://oeis.org/edit/global/2029

#10 by Charles R Greathouse IV at Mon May 13 01:54:04 EDT 2013

LINKS

_Charles R Greathouse IV_, , <a href="/A046971/b046971.txt">Table of n, a(n) for n = 1..10000</a>

Discussion

Mon May 13

01:54

OEIS Server: https://oeis.org/edit/global/1915

#9 by Charles R Greathouse IV at Mon May 13 01:47:52 EDT 2013

LINKS

_Charles R Greathouse IV, _, <a href="/A046971/b046971.txt">Table of n, a(n) for n = 1..10000</a>

Discussion

Mon May 13

01:47

OEIS Server: https://oeis.org/edit/global/1914

#8 by Charles R Greathouse IV at Sun Apr 08 21:21:53 EDT 2012

STATUS

editing

approved