The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A325814 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A325814

a(n) = n - A048146(n), where A048146 is the sum of non-unitary divisors of n.
(history; published version)

#16 by Michel Marcus at Thu Feb 22 02:18:34 EST 2024

STATUS

reviewed

approved

#15 by Joerg Arndt at Thu Feb 22 01:00:48 EST 2024

STATUS

proposed

reviewed

#14 by Amiram Eldar at Thu Feb 22 00:42:51 EST 2024

STATUS

editing

proposed

#13 by Amiram Eldar at Thu Feb 22 00:10:34 EST 2024

FORMULA

Sum_{k=1..n} a(k) ~ c * n^2, where c = 1/2 - zeta(2) * (1 - 1/zeta(3)) / 2 = 0.3617493553... . - Amiram Eldar, Feb 22 2024

CROSSREFS

Cf. A002117, A013661.

STATUS

approved

editing

#12 by Susanna Cuyler at Tue May 28 19:33:37 EDT 2019

STATUS

proposed

approved

#11 by Michael De Vlieger at Mon May 27 18:23:34 EDT 2019

STATUS

editing

proposed

#10 by Michael De Vlieger at Mon May 27 18:23:32 EDT 2019

MATHEMATICA

Table[n - DivisorSum[n, # &, ! CoprimeQ[#, n/#] &], {n, 84}] (* Michael De Vlieger, May 27 2019 *)

STATUS

proposed

editing

#9 by Antti Karttunen at Fri May 24 15:02:47 EDT 2019

STATUS

editing

proposed

#8 by Antti Karttunen at Thu May 23 09:47:13 EDT 2019

CROSSREFS

Cf. A000203, A033879, A034448, A034460, A048146, A064591 (positions of zeros), A228058, A325812, A325813, A325824.

#7 by Antti Karttunen at Thu May 23 07:16:29 EDT 2019

FORMULA

a(n) = A033879(n) + A034460(n).

a(A228058(n)) = A325824(n).

CROSSREFS

Cf. A000203, A033879, A034448, A034460, A048146, A228058, A325812, A325813, A325824.