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a(n) = n^2 mod 34.
7

%I #18 Mar 11 2023 09:27:12

%S 0,1,4,9,16,25,2,15,30,13,32,19,8,33,26,21,18,17,18,21,26,33,8,19,32,

%T 13,30,15,2,25,16,9,4,1,0,1,4,9,16,25,2,15,30,13,32,19,8,33,26,21,18,

%U 17,18,21,26,33,8,19,32,13,30,15,2,25,16,9,4,1,0,1,4,9,16,25,2,15,30

%N a(n) = n^2 mod 34.

%H G. C. Greubel, <a href="/A070456/b070456.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_34">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, 1).

%F a(n) = a(n-34). - _G. C. Greubel_, Mar 25 2016

%t Table[Mod[n^2,34],{n,0,200}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 27 2011 *)

%t PowerMod[Range[0,80],2,34] (* _Harvey P. Dale_, Mar 11 2023 *)

%o (PARI) a(n)=n^2%34 \\ _Charles R Greathouse IV_, Apr 06 2016

%Y Cf. A070450, A070451, A070453.

%K nonn,easy

%O 0,3

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