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Revision History for A373058 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A373058 The sum of the aliquot coreful divisors of the nonsquarefree numbers.
(history; published version)
#13 by Michael De Vlieger at Tue Jul 23 10:51:15 EDT 2024
STATUS

reviewed

approved

#12 by Michel Marcus at Tue Jul 23 04:07:50 EDT 2024
STATUS

proposed

reviewed

#11 by Chai Wah Wu at Mon Jul 22 17:33:27 EDT 2024
STATUS

editing

proposed

#10 by Chai Wah Wu at Mon Jul 22 17:33:22 EDT 2024
PROG

return prod((p**(e+1)-1)//(p-1)-1 for p, e in factorint(m).items())-m # Chai Wah Wu, Jul 22 2024

#9 by Chai Wah Wu at Mon Jul 22 17:33:13 EDT 2024
PROG

(Python)

from math import prod, isqrt

from sympy import mobius, factorint

def A373058(n):

def f(x): return n+sum(mobius(k)*(x//k**2) for k in range(1, isqrt(x)+1))

m, k = n, f(n)

while m != k:

m, k = k, f(k)

return prod((p**(e+1)-1)//(p-1)-1 for p, e in factorint(m).items())-m # Chai Wah Wu, Jul 22 2024

STATUS

approved

editing

#8 by OEIS Server at Tue May 21 05:27:40 EDT 2024
LINKS

Amiram Eldar, <a href="/A373058/b373058_1.txt">Table of n, a(n) for n = 1..10000</a>

#7 by Peter Luschny at Tue May 21 05:27:40 EDT 2024
STATUS

reviewed

approved

Discussion
Tue May 21 05:27
OEIS Server: Installed first b-file as b373058.txt.
#6 by Joerg Arndt at Tue May 21 01:14:57 EDT 2024
STATUS

proposed

reviewed

#5 by Amiram Eldar at Tue May 21 00:51:29 EDT 2024
STATUS

editing

proposed

#4 by Amiram Eldar at Tue May 21 00:49:18 EDT 2024
CROSSREFS

Cf. A005117, A013661, A013929, A065487, A229099, A307958, A336563.

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Last modified August 30 09:28 EDT 2024. Contains 375532 sequences. (Running on oeis4.)