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a(n) = n^2 mod 43.
2

%I #13 Dec 18 2023 13:09:43

%S 0,1,4,9,16,25,36,6,21,38,14,35,15,40,24,10,41,31,23,17,13,11,11,13,

%T 17,23,31,41,10,24,40,15,35,14,38,21,6,36,25,16,9,4,1,0,1,4,9,16,25,

%U 36,6,21,38,14,35,15,40,24,10,41,31,23,17,13,11,11,13,17,23,31,41,10,24,40

%N a(n) = n^2 mod 43.

%H G. C. Greubel, <a href="/A070465/b070465.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_43">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, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n) = a(n-43). - _G. C. Greubel_, Mar 25 2016

%t PowerMod[Range[0,80],2,43] (* _Harvey P. Dale_, Nov 10 2011 *)

%o (PARI) a(n)=n^2%43 \\ _Charles R Greathouse IV_, Apr 06 2016

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_, May 12 2002