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Revision History for A070889

(Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Denominator of Sum_{k=1..n} mu(k)/k.
(history; published version)
#21 by Michael De Vlieger at Fri Nov 03 17:01:58 EDT 2023
STATUS

reviewed

approved

#20 by Michel Marcus at Fri Nov 03 12:23:53 EDT 2023
STATUS

proposed

reviewed

#19 by Chai Wah Wu at Fri Nov 03 12:07:13 EDT 2023
STATUS

editing

proposed

#18 by Chai Wah Wu at Fri Nov 03 12:06:14 EDT 2023
PROG

(Python)

from functools import lru_cache

from sympy import harmonic

@lru_cache(maxsize=None)

def f(n):

if n <= 1:

return 1

c, j = 1, 2

k1 = n//j

while k1 > 1:

j2 = n//k1 + 1

c += (harmonic(j-1)-harmonic(j2-1))*f(k1)

j, k1 = j2, n//j2

return c+harmonic(j-1)-harmonic(n)

def A070889(n): return f(n).denominator # Chai Wah Wu, Nov 03 2023

STATUS

approved

editing

#17 by N. J. A. Sloane at Fri Feb 04 23:35:30 EST 2022
STATUS

editing

approved

#16 by N. J. A. Sloane at Fri Feb 04 23:35:27 EST 2022
KEYWORD

frac,nonn,easy

STATUS

approved

editing

#15 by Bruno Berselli at Thu Oct 22 06:36:10 EDT 2020
STATUS

reviewed

approved

#14 by Joerg Arndt at Thu Oct 22 05:14:43 EDT 2020
STATUS

proposed

reviewed

#13 by Michel Marcus at Thu Oct 22 02:56:11 EDT 2020
STATUS

editing

proposed

#12 by Michel Marcus at Thu Oct 22 02:56:06 EDT 2020
PROG

(PARI: ) t = 0; v = []; for( n = 1, 30, t = t + mumoebius( n) / n; v = concat( v, denomdenominator( t))); v

STATUS

proposed

editing