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Revision History for A039302 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Number of distinct quadratic residues mod 5^n.
(history; published version)
#25 by Charles R Greathouse IV at Thu Sep 08 08:44:53 EDT 2022
PROG

(MAGMAMagma) I:=[1, 3, 11]; [n le 3 select I[n] else 5*Self(n-1)+Self(n-2)-5*Self(n-3): n in [1..30]]; // Vincenzo Librandi, Apr 21 2012

Discussion
Thu Sep 08
08:44
OEIS Server: https://oeis.org/edit/global/2944
#24 by Michael Somos at Mon Feb 17 13:08:21 EST 2020
STATUS

editing

approved

#23 by Michael Somos at Mon Feb 17 13:08:12 EST 2020
REFERENCES

J. V. Uspensky and M. A. Heaslet, Elementary Number Theory, McGraw-Hill, NY, 1939, p. 324.

STATUS

approved

editing

Discussion
Mon Feb 17
13:08
Michael Somos: Added more info.
#22 by R. J. Mathar at Thu Sep 28 04:34:38 EDT 2017
STATUS

editing

approved

#21 by R. J. Mathar at Thu Sep 28 04:34:31 EDT 2017
FORMULA

a(n) = A000224(5^n). - R. J. Mathar, Sep 28 2017

MAPLE

A039302 := proc(n)

floor((5^n+3)*5/12) ;

end proc:

seq(A039302(n), n=0..10) ; # R. J. Mathar, Sep 28 2017

STATUS

approved

editing

#20 by Ray Chandler at Fri Jul 24 17:43:32 EDT 2015
STATUS

editing

approved

#19 by Ray Chandler at Fri Jul 24 17:43:28 EDT 2015
LINKS

<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (5,1,-5).

STATUS

approved

editing

#18 by Charles R Greathouse IV at Sat Jun 13 00:49:20 EDT 2015
LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (5,1-5).

Discussion
Sat Jun 13
00:49
OEIS Server: https://oeis.org/edit/global/2439
#17 by Charles R Greathouse IV at Fri Jun 12 15:32:27 EDT 2015
LINKS

<a href="/index/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (5,1-5).

Discussion
Fri Jun 12
15:32
OEIS Server: https://oeis.org/edit/global/2437
#16 by Charles R Greathouse IV at Fri Jun 12 15:18:54 EDT 2015
LINKS

<a href="/Sindx_Rea.htmlindex/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (5,1-5).

Discussion
Fri Jun 12
15:18
OEIS Server: https://oeis.org/edit/global/2434