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Revision History for A059889 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = |{m : multiplicative order of 7 mod m=n}|.
(history; published version)
#19 by OEIS Server at Sun Sep 11 12:45:18 EDT 2022
LINKS

Max Alekseyev, <a href="/A059889/b059889_1.txt">Table of n, a(n) for n = 1..388</a>

#18 by Max Alekseyev at Sun Sep 11 12:45:18 EDT 2022
STATUS

editing

approved

Discussion
Sun Sep 11
12:45
OEIS Server: Installed new b-file as b059889.txt.  Old b-file is now b059889_1.txt.
#17 by Max Alekseyev at Sun Sep 11 12:45:10 EDT 2022
LINKS

Max Alekseyev, <a href="/A059889/b059889_1.txt">Table of n, a(n) for n = 1..382388</a>

STATUS

approved

editing

#16 by Max Alekseyev at Tue May 03 11:32:18 EDT 2022
STATUS

editing

approved

#15 by Max Alekseyev at Tue May 03 11:32:11 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(7).

a(n) = number of orders of degree n monic irreducible polynomials over GF(7).

Also, number of primitive factors of 7^n - 1 (cf. A218358). - 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), this sequence (b=7), A059890 (b=8), A059891 (b=9), A059892 (b=10).

Cf. A000005, A008683, A058946, A053450, A057954, A058946, A059499, A059885-A059888, A059890-A059892, A074249, A212486., A218358

Column k=7 of A212957. - _Alois P. Heinz_, Oct 12 2012

#14 by Max Alekseyev at Tue May 03 11:29:36 EDT 2022
LINKS

Max Alekseyev, <a href="/A059889/b059889.txt">Table of n, a(n) for n = 1..382</a>

KEYWORD

easy,nonn

nonn

STATUS

approved

editing

#13 by Alois P. Heinz at Sun Dec 21 07:45:48 EST 2014
STATUS

editing

approved

#12 by Alois P. Heinz at Sun Dec 21 07:45:45 EST 2014
MAPLE

with (numtheory):

seq (a(n), n=1..40); # Alois P. Heinz, Oct 12 2012

STATUS

approved

editing

#11 by Charles R Greathouse IV at Fri May 10 12:44:35 EDT 2013
AUTHOR

_Vladeta Jovovic (vladeta(AT)eunet.rs), _, Feb 06 2001

Discussion
Fri May 10
12:44
OEIS Server: https://oeis.org/edit/global/1911
#10 by Alois P. Heinz at Fri Oct 12 21:30:44 EDT 2012
STATUS

editing

approved