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Revision History for A370240

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

Showing entries 1-10 | older changes
The sum of divisors of n that are cubes of squarefree numbers.
(history; published version)
#13 by OEIS Server at Tue Feb 13 03:43:26 EST 2024
LINKS

Amiram Eldar, <a href="/A370240/b370240_1.txt">Table of n, a(n) for n = 1..10000</a>

#12 by Hugo Pfoertner at Tue Feb 13 03:43:26 EST 2024
STATUS

reviewed

approved

Discussion
Tue Feb 13
03:43
OEIS Server: Installed first b-file as b370240.txt.
#11 by Joerg Arndt at Tue Feb 13 03:40:55 EST 2024
STATUS

proposed

reviewed

#10 by Amiram Eldar at Tue Feb 13 03:35:33 EST 2024
STATUS

editing

proposed

#9 by Amiram Eldar at Tue Feb 13 03:35:16 EST 2024
FORMULA

Sum_{k=1..n} a(k) ~ c * n^(4/3), + n, where c = 3*zeta(4/3)/(2*Pi^2) = 0.5472769126... .

Discussion
Tue Feb 13
03:35
Amiram Eldar: Yes. Thanks!
#8 by Amiram Eldar at Tue Feb 13 03:34:52 EST 2024
FORMULA

Sum_{k=1..n} a(k) ~ c * n^(4/3), where c = 3*zeta(4/3)/(2*Pi^2 ) = 10.09455382525472769126... .

#7 by Vaclav Kotesovec at Tue Feb 13 03:21:12 EST 2024
STATUS

proposed

editing

Discussion
Tue Feb 13
03:27
Vaclav Kotesovec: My result is c = 3*zeta(4/3)/(2*Pi^2), numerically verified.
03:31
Vaclav Kotesovec: and little better asymptotics: Sum_{k=1..n} a(k) ~ c * n^(4/3) + n, where c = 3*zeta(4/3)/(2*Pi^2)
#6 by Amiram Eldar at Tue Feb 13 01:18:49 EST 2024
STATUS

editing

proposed

#5 by Amiram Eldar at Tue Feb 13 01:05:59 EST 2024
FORMULA

Dirichlet g.f.: zeta(s) * zeta(3*s-3)/zeta(6*s-6).

#4 by Amiram Eldar at Tue Feb 13 01:05:08 EST 2024
CROSSREFS