The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A034448

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A034448

usigma(n) = sum of unitary divisors of n (divisors d such that gcd(d, n/d)=1); also called UnitarySigma(n).
(history; published version)

#124 by Michael De Vlieger at Sat Sep 21 08:41:44 EDT 2024

STATUS

reviewed

approved

#123 by Joerg Arndt at Sat Sep 21 04:10:04 EDT 2024

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proposed

reviewed

#122 by Amiram Eldar at Sat Sep 21 03:00:25 EDT 2024

STATUS

editing

proposed

#121 by Amiram Eldar at Sat Sep 21 02:41:54 EDT 2024

FORMULA

a(n) = uphi(n^2)/uphi(n) = A191414(n)/uphi(n), where uphi(n) = A047994(n). - Amiram Eldar, Sep 21 2024

CROSSREFS

Cf. A000203, A034444, A034460, A047994, A048250, A064000, A064609, A191414.

STATUS

approved

editing

#120 by Jon E. Schoenfield at Thu Sep 07 04:16:30 EDT 2023

STATUS

editing

approved

#119 by Jon E. Schoenfield at Thu Sep 07 04:16:26 EDT 2023

LINKS

Carl Pomerance and Hee-Sung Yang, <a href="http://www.math.dartmouth.edu/~carlp/uupaper7.pdf">Variant of a theorem of Erdos Erdős on the sum-of-proper-divisors function</a>, Math. Comp., to appear (2014).

STATUS

approved

editing

#118 by Alois P. Heinz at Mon Feb 13 16:14:09 EST 2023

STATUS

reviewed

approved

#117 by Michel Marcus at Mon Feb 13 14:25:54 EST 2023

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proposed

reviewed

#116 by Andrew Howroyd at Mon Feb 13 13:51:15 EST 2023

STATUS

editing

proposed

#115 by Andrew Howroyd at Mon Feb 13 13:48:43 EST 2023

LINKS

O. Octavio A. AgustinAgustín-Aquino, <a href="http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1011">Prime injections and quasipolarities</a>, Matematiche 69 (2014) 159-168

STATUS

approved

editing

Discussion

Mon Feb 13

13:51

Andrew Howroyd: Per discussion in A360156. Adjusted name to author's preferred print form.