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Revision History for A057710 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

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Positive integers k with exactly 2 aliquot sequence predecessors. In other words, there are exactly two solutions x for which s(x) = n. The function s(x) here is the sum of all proper divisors of x (A001065).
(history; published version)
#21 by OEIS Server at Sat Dec 26 03:49:32 EST 2020
LINKS

Amiram Eldar, <a href="/A057710/b057710_1.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..1000 from T. D. Noe)

#20 by Joerg Arndt at Sat Dec 26 03:49:32 EST 2020
STATUS

reviewed

approved

Discussion
Sat Dec 26
03:49
OEIS Server: Installed new b-file as b057710.txt.  Old b-file is now b057710_1.txt.
#19 by Michel Marcus at Sat Dec 26 03:38:38 EST 2020
STATUS

proposed

reviewed

#18 by Amiram Eldar at Sat Dec 26 03:31:38 EST 2020
STATUS

editing

proposed

#17 by Amiram Eldar at Sat Dec 26 03:21:42 EST 2020
LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/RestrictedDivisorFunction.html">Restricted Divisor Function</a>.

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AliquotSequence.html">Aliquot sequence.</a>.

EXAMPLE

14 is a member of the sequence because s(22) = 14 and s(169) = 14 (and because no other integer x satisfies s(x) = 14).

CROSSREFS
#16 by Amiram Eldar at Sat Dec 26 03:21:01 EST 2020
NAME

Positive integers n k with exactly 2 aliquot sequence predecessors. In other words, there are exactly two solutions x for which s(x) = n. The function s(x) here refers to the Restricted Divisor Function, is the sum of all proper divisors of x (A001065).

#15 by Amiram Eldar at Sat Dec 26 03:19:55 EST 2020
LINKS

Amiram Eldar, <a href="/A057710/b057710_1.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..1000 from T. D. Noe)

#14 by Amiram Eldar at Sat Dec 26 03:19:45 EST 2020
LINKS

T. D. Noe, Amiram Eldar, <a href="/A057710/b057710_1.txt">Table of n, a(n) for n = 1..100010000</a>

STATUS

approved

editing

#13 by Charles R Greathouse IV at Thu Nov 21 13:11:35 EST 2013
MATHEMATICA

len = max = 57; f[_List] := (s = Select[ Split[ Sort[ Table[ DivisorSigma[1, n] - n, {n, 1, max *= 2}]]], Length[#] == 2 & ][[All, 1]]; s [[1 ;; Min[len, Length[s]]]]); FixedPoint[f, {}] (* From _Jean-François Alcover, _, Oct 07 2011 *)

Discussion
Thu Nov 21
13:11
OEIS Server: https://oeis.org/edit/global/2066
#12 by R. J. Mathar at Wed Nov 21 14:36:40 EST 2012
STATUS

editing

approved