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a(n) = n^7 mod 36.
1

%I #18 Dec 19 2023 14:09:06

%S 0,1,20,27,4,5,0,7,8,9,28,11,0,13,32,27,16,17,0,19,20,9,4,23,0,25,8,

%T 27,28,29,0,31,32,9,16,35,0,1,20,27,4,5,0,7,8,9,28,11,0,13,32,27,16,

%U 17,0,19,20,9,4,23,0,25,8,27,28,29,0,31,32,9,16,35,0,1,20,27,4,5,0,7,8,9,28

%N a(n) = n^7 mod 36.

%H Vincenzo Librandi, <a href="/A070717/b070717.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_36">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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%t PowerMod[Range[0,90],7,36] (* or *) PadRight[{},90,{0,1,20,27,4,5,0,7,8,9,28,11,0,13,32,27,16,17,0,19,20,9,4,23,0,25,8,27,28,29,0,31,32,9,16,35}] (* _Harvey P. Dale_, May 24 2017 *)

%o (Sage) [power_mod(n,7,36)for n in range(0, 83)] # - _Zerinvary Lajos_, Oct 29 2009

%o (PARI) a(n)=n^7%36 \\ _Charles R Greathouse IV_, Apr 06 2016

%o (Magma) [Modexp(n, 7, 36): n in [0..80]]; // _Vincenzo Librandi_, May 25 2017

%K nonn,easy

%O 0,3

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