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Revision History for A326198 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Number of positive integers that are reachable from n with some combination of transitions x -> x-phi(x) and x -> gcd(x,phi(x)).
(history; published version)
#20 by OEIS Server at Tue Sep 10 21:50:48 EDT 2019
LINKS

Antti Karttunen, <a href="/A326198/b326198_1.txt">Table of n, a(n) for n = 1..16384</a>

#19 by N. J. A. Sloane at Tue Sep 10 21:50:48 EDT 2019
STATUS

proposed

approved

Discussion
Tue Sep 10
21:50
OEIS Server: Installed new b-file as b326198.txt.  Old b-file is now b326198_1.txt.
#18 by Antti Karttunen at Sun Aug 25 16:20:39 EDT 2019
STATUS

editing

proposed

Discussion
Sun Aug 25
17:53
David A. Corneth: Right now it shows the graph for the b-file with the 65537 values.
18:25
Antti Karttunen: Yes, it will not show the 16384-term file before this has been approved, after which the file b326198_1.txt will be automatically renamed to b326198.txt
#17 by Antti Karttunen at Sun Aug 25 15:29:07 EDT 2019
PROG

A326198aux(n, xs) = { xs = setunion([n], xs); if(1==n, xs, my(a=gcd(n, eulerphi(n)), b=n-eulerphi(n)); xs = A326198aux(a, xs); A326198aux(b, xs)); };

Discussion
Sun Aug 25
15:29
Antti Karttunen: So I uploaded a smaller b-file to test whether that artifact goes away.
#16 by Antti Karttunen at Sun Aug 25 15:28:16 EDT 2019
LINKS

Antti Karttunen, <a href="/A326198/b326198_1.txt">Table of n, a(n) for n = 1..6553716384</a>

PROG

A326198aux(n, xs) = { xs = setunion([n], xs); if(1==n, xs, my(a=gcd(n, eulerphi(n)), b=n-eulerphi(n)); xs = A326198aux(a, xs); A326198aux(b, xs)); };

#15 by Antti Karttunen at Sun Aug 25 15:25:01 EDT 2019
LINKS

Antti Karttunen, <a href="/A326198/a326198.txt">Data supplement: n, a(n) computed for n = 1..100000</a>

#14 by Antti Karttunen at Sun Aug 25 14:42:54 EDT 2019
CROSSREFS
KEYWORD

nonn,look,new

#13 by Antti Karttunen at Sun Aug 25 09:26:52 EDT 2019
KEYWORD

nonn,look,new

Discussion
Sun Aug 25
09:34
Antti Karttunen: Are white lines in the scatter plot just an artefact of plotting?
10:15
David A. Corneth: So it seems. All positive integers <= 71 are in the b-file. Positive integers <= 85 that are missing are 73, 75, 76, 77, 79, 80, 82, 83.
#12 by Antti Karttunen at Sun Aug 25 09:01:10 EDT 2019
PROG

A326198aux(n, xs) = { xs = setunion([n], xs); if(1==n, xs, my(a=gcd(n, eulerphi(n)), b=n-eulerphi(n)); xs = A326198aux(a, xs); if((a==b), xs, A326198aux(b, xs))); };

#11 by Antti Karttunen at Sun Aug 25 09:00:18 EDT 2019
PROG

A326198aux(n, xs) = if(vecsearch(xs, n), xs, xs = setunion([n], xs); if(1==n, xs, my(a=gcd(n, eulerphi(n)), b=n-eulerphi(n)); xs = A326198aux(a, xs); if((a==b), xs, A326198aux(b, xs))));

STATUS

approved

editing