The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A351315 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A351315

Sum of the 9th powers of the square divisors of n.
(history; published version)

#18 by Wesley Ivan Hurt at Fri Jun 21 17:30:49 EDT 2024

STATUS

editing

approved

#17 by Wesley Ivan Hurt at Fri Jun 21 17:30:39 EDT 2024

COMMENTS

Inverse Möbius transform of n^9 * c(n), where c(n) is the characteristic function of squares (A010052). - Wesley Ivan Hurt, Jun 21 2024

FORMULA

a(n) = Sum_{d|n} d^9 * c(d), where c = A010052. - Wesley Ivan Hurt, Jun 21 2024

CROSSREFS

Cf. A010052.

STATUS

approved

editing

#16 by Joerg Arndt at Wed Sep 20 01:43:36 EDT 2023

STATUS

reviewed

approved

#15 by Michel Marcus at Wed Sep 20 01:28:16 EDT 2023

STATUS

proposed

reviewed

#14 by Amiram Eldar at Wed Sep 20 00:16:47 EDT 2023

STATUS

editing

proposed

#13 by Amiram Eldar at Wed Sep 20 00:03:17 EDT 2023

FORMULA

From Amiram Eldar, Sep 20 2023: (Start)

Dirichlet g.f.: zeta(s) * zeta(2*s-18).

Sum_{k=1..n} a(k) ~ (zeta(19/2)/19) * n^(19/2). (End)

KEYWORD

nonn,easy,mult

STATUS

approved

editing

#12 by Michael De Vlieger at Mon Feb 07 11:18:39 EST 2022

STATUS

reviewed

approved

#11 by Hugo Pfoertner at Mon Feb 07 11:17:11 EST 2022

STATUS

proposed

reviewed

#10 by Michael De Vlieger at Mon Feb 07 11:16:26 EST 2022

STATUS

editing

proposed

#9 by Michael De Vlieger at Mon Feb 07 11:16:24 EST 2022

LINKS

Michael De Vlieger, <a href="/A351315/b351315.txt">Table of n, a(n) for n = 1..10000</a>

STATUS

approved

editing