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Revision History for A001055

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A001055

The multiplicative partition function: number of ways of factoring n with all factors greater than 1 (a(1) = 1 by convention).
(history; published version)

#168 by Vaclav Kotesovec at Sun Oct 20 08:48:21 EDT 2024

STATUS

editing

approved

#167 by Vaclav Kotesovec at Sun Oct 20 08:48:10 EDT 2024

CROSSREFS

Cf. A096276 (partial sums).

STATUS

approved

editing

#166 by Michael De Vlieger at Thu Jun 06 11:27:20 EDT 2024

STATUS

proposed

approved

#165 by R. J. Mathar at Thu Jun 06 11:19:50 EDT 2024

STATUS

editing

proposed

#164 by R. J. Mathar at Thu Jun 06 11:19:42 EDT 2024

FORMULA

a(p^k*q^k) = A002774(k) if p and q are distinct primes. - R. J. Mathar, Jun 06 2024

STATUS

approved

editing

#163 by Michael De Vlieger at Thu May 11 12:22:12 EDT 2023

STATUS

proposed

approved

#162 by Michel Marcus at Thu May 11 11:54:00 EDT 2023

STATUS

editing

proposed

#161 by Peter Munn at Thu May 11 06:57:13 EDT 2023

COMMENTS

So a(n) gives the number of different sorts of prime signature signatures that can be found among the integers that have n divisors. - Michel Marcus, Nov 11 2015

STATUS

approved

editing

Discussion

Thu May 11

06:58

Peter Munn: I'm very confident Michel meant "different prime signatures", not "different sorts of prime signature" otherwise we would need to define how we were categorising prime signatures.

06:59

Peter Munn: If Michel is happy, we might also tighten the sentence, thus: 
"gives the number of" (Michel's original: "counts the number of") -> "counts the";
"can be found" -> "occur"; giving... 
"So a(n) counts the different prime signatures that occur among integers that have n divisors."

11:54

Michel Marcus: Yes, ok for me.

#160 by Andrew Howroyd at Tue Nov 30 13:26:26 EST 2021

STATUS

reviewed

approved

#159 by Joerg Arndt at Tue Nov 30 08:42:39 EST 2021

STATUS

proposed

reviewed