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Revision History for A059891

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Showing entries 1-10 | older changes
a(n) = |{m : multiplicative order of 9 mod m=n}|.
(history; published version)
#20 by OEIS Server at Tue Jul 25 19:32:20 EDT 2023
LINKS

Max Alekseyev, <a href="/A059891/b059891_2.txt">Table of n, a(n) for n = 1..690</a>

#19 by Max Alekseyev at Tue Jul 25 19:32:20 EDT 2023
STATUS

editing

approved

Discussion
Tue Jul 25
19:32
OEIS Server: Installed new b-file as b059891.txt.  Old b-file is now b059891_2.txt.
#18 by Max Alekseyev at Tue Jul 25 19:32:13 EDT 2023
LINKS

Max Alekseyev, <a href="/A059891/b059891_2.txt">Table of n, a(n) for n = 1..682690</a>

STATUS

approved

editing

#17 by OEIS Server at Sun May 22 19:53:42 EDT 2022
LINKS

Max Alekseyev, <a href="/A059891/b059891_1.txt">Table of n, a(n) for n = 1..682</a>

#16 by Max Alekseyev at Sun May 22 19:53:42 EDT 2022
STATUS

editing

approved

Discussion
Sun May 22
19:53
OEIS Server: Installed new b-file as b059891.txt.  Old b-file is now b059891_1.txt.
#15 by Max Alekseyev at Sun May 22 19:53:34 EDT 2022
LINKS

Max Alekseyev, <a href="/A059891/b059891_1.txt">Table of n, a(n) for n = 1..676682</a>

STATUS

approved

editing

#14 by Max Alekseyev at Tue May 03 11:42:19 EDT 2022
STATUS

editing

approved

#13 by Max Alekseyev at Tue May 03 11:42:16 EDT 2022
COMMENTS

The multiplicative order of a mod m, gcd(a,m)=1, is the smallest natural number d for which a^d = 1 (mod m). a(n) = number of orders of degree-n monic irreducible polynomials over GF(9).

a(n) = number of orders of degree-n monic irreducible polynomials over GF(9).

Also, number of primitive factors of 9^n - 1. - Max Alekseyev, May 03 2022

CROSSREFS

Number of primitive factors of b^n - 1: A059499 (b=2), A059885(b=3), A059886 (b=4), A059887 (b=5), A059888 (b=6), A059889 (b=7), A059890 (b=8), this sequence (b=9), A059892 (b=10).

Cf. A000005, A008683, A027381, A053452, A057952, A058946, A059499, A059885-A059890, A059892A274909.

Column k=9 of A212957. - _Alois P. Heinz_, Oct 12 2012

#12 by Max Alekseyev at Tue May 03 11:39:16 EDT 2022
LINKS

Max Alekseyev, <a href="/A059891/b059891.txt">Table of n, a(n) for n = 1..676</a>

KEYWORD

easy,nonn

nonn

STATUS

approved

editing

#11 by Alois P. Heinz at Sun Dec 21 07:46:56 EST 2014
STATUS

editing

approved