The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A192213

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Showing entries 1-10 | older changes

A192213

Number of zero trace primitive elements in Galois field GF(5^n).
(history; published version)

#20 by Michael De Vlieger at Fri May 10 08:50:08 EDT 2024

STATUS

reviewed

approved

#19 by Joerg Arndt at Fri May 10 06:24:58 EDT 2024

STATUS

proposed

reviewed

#18 by Robin Visser at Fri May 10 06:19:30 EDT 2024

STATUS

editing

proposed

#17 by Robin Visser at Fri May 10 06:18:08 EDT 2024

PROG

(Sage)

(Sage)def a(n):

return ans # Robin Visser, May 10 2024

#16 by Robin Visser at Fri May 10 02:12:37 EDT 2024

DATA

0, 0, 12, 32, 270, 840, 7812, 23808, 178452, 583880, 4882812, 12434160, 122070312, 391954136, 2630952180

PROG

(Sage)def a(n):

ans = 0

for x in GF(5^n):

if x!=0 and x.trace()==0 and x.multiplicative_order()==5^n-1: ans += 1

return ans # Robin Visser, May 10 2024

EXTENSIONS

Terms >= 178452 a(9)-a(11) from Joerg Arndt, Oct 03 2012

a(12)-a(15) from Robin Visser, May 10 2024

STATUS

approved

editing

#15 by Wesley Ivan Hurt at Fri Aug 26 15:14:57 EDT 2022

STATUS

editing

approved

#14 by Wesley Ivan Hurt at Fri Aug 26 15:14:49 EDT 2022

NAME

Number of zero trace primitive elements in Galois field GF(5^n).

FORMULA

a(n) = n * A192508(n). [_- _Joerg Arndt_, Jul 03 2011]

CROSSREFS

Cf. A192508.

Cf. A192211, A192212, A192214, A192215, A192216 for other primes.

STATUS

approved

editing

#13 by Joerg Arndt at Wed Oct 03 11:38:51 EDT 2012

STATUS

editing

approved

#12 by Joerg Arndt at Wed Oct 03 11:38:46 EDT 2012

DATA

0, 0, 12, 32, 270, 840, 7812, 23808, 178452, 583880, 4882812

FORMULA

a(n) = n * A192508(n). [_Joerg Arndt, _, Jul 03 2011]

EXTENSIONS

Terms >= 178452 from Joerg Arndt, Oct 03 2012

STATUS

approved

editing

#11 by Russ Cox at Sat Mar 31 10:30:02 EDT 2012

AUTHOR

_Pasha Zusmanovich (justpasha(AT)gmail.com), _, Jun 25 2011

Discussion

Sat Mar 31

10:30

OEIS Server: https://oeis.org/edit/global/622