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n^5 mod 21.
1

%I #18 Dec 18 2023 20:16:50

%S 0,1,11,12,16,17,6,7,8,18,19,2,3,13,14,15,4,5,9,10,20,0,1,11,12,16,17,

%T 6,7,8,18,19,2,3,13,14,15,4,5,9,10,20,0,1,11,12,16,17,6,7,8,18,19,2,3,

%U 13,14,15,4,5,9,10,20,0,1,11,12,16,17,6,7,8,18,19,2,3,13,14,15,4,5,9

%N n^5 mod 21.

%H Vincenzo Librandi, <a href="/A070605/b070605.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_21">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%t PowerMod[Range[0,90],5,21] (* _Harvey P. Dale_, Sep 19 2013 *)

%o (Sage) [power_mod(n,5,21)for n in range(0, 82)] # - _Zerinvary Lajos_, Nov 04 2009

%o (Magma) [n^5 mod 21: n in [0..100 ]]; // _Vincenzo Librandi_, Sep 19 2013

%o (PARI) a(n)=n^5%21 \\ _Charles R Greathouse IV_, Apr 06 2016

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_, May 13 2002