[go: up one dir, main page]

login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
Revision History for A123074 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A123074 Number of ordered triples of primes (p,q,r) such that pqr = n.
(history; published version)
#16 by N. J. A. Sloane at Sun Jul 23 21:47:25 EDT 2017
STATUS

proposed

approved

#15 by Antti Karttunen at Sun Jul 23 16:29:19 EDT 2017
STATUS

editing

proposed

#14 by Antti Karttunen at Sun Jul 23 16:28:38 EDT 2017
COMMENTS

For distinct primes p, q and r, a(p^3) = 1, a(p^2 q) = 3, a(pqr) = 6, otherwise (when A101605(n) = 0), a(n) = 0.. - Comment clarified by _David A. Corneth_ and _Antti Karttunen_, Jul 23 2017

STATUS

proposed

editing

#13 by David A. Corneth at Sun Jul 23 16:20:05 EDT 2017
STATUS

editing

proposed

Discussion
Sun Jul 23 16:26
Antti Karttunen: I think comment beginning with "For distinct primes p, q and r," is meant to clarify what kind of cases of non-distinct triples may occur.
16:27
Antti Karttunen: (Ah, yes, David added that distinct clarification, I thought it was there from the beginning).
#12 by David A. Corneth at Sun Jul 23 16:19:17 EDT 2017
COMMENTS

For distinct primes p, q and r, a(p^3) = 1, a(p^2 q) = 3, a(pqr) = 6, otherwise (when A101605(n) = 0), a(n) = 0.

STATUS

proposed

editing

Discussion
Sun Jul 23 16:19
David A. Corneth: Name uses p, q and r as not necessarily distinct primes, the comment does.
#11 by Michel Marcus at Sun Jul 23 15:58:30 EDT 2017
STATUS

editing

proposed

#10 by Michel Marcus at Sun Jul 23 15:58:24 EDT 2017
MATHEMATICA

Join[{0}, Table[e=Sort[Transpose[FactorInteger[n]][[2]]]; Which[e=={3}, 1, e=={1, 2}, 3, e=={1, 1, 1}, 6, True, 0], {n, 2, 150}]] - _}]] (* _T. D. Noe_, Sep 29 2006 *)

STATUS

proposed

editing

#9 by Antti Karttunen at Sun Jul 23 15:57:31 EDT 2017
STATUS

editing

proposed

#8 by Antti Karttunen at Sun Jul 23 15:55:38 EDT 2017
COMMENTS

a(p^3) = 1, a(p^2 q) = 3, a(pqr) = 6, otherwise (when A101605(n) = 0), a(n) = 0.

CROSSREFS

Cf. A001221, A001222, A101605, A123073, A014612.

#7 by Antti Karttunen at Sun Jul 23 15:53:22 EDT 2017
AUTHOR

N. J. A. Sloane and _T. D. Noe, _, Sep 29 2006

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 29 13:17 EDT 2024. Contains 375517 sequences. (Running on oeis4.)