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a(n) = 3^n mod 1000.
3

%I #25 Sep 08 2022 08:46:03

%S 1,3,9,27,81,243,729,187,561,683,49,147,441,323,969,907,721,163,489,

%T 467,401,203,609,827,481,443,329,987,961,883,649,947,841,523,569,707,

%U 121,363,89,267,801,403,209,627,881,643,929,787,361,83,249,747,241,723,169,507,521,563,689

%N a(n) = 3^n mod 1000.

%C Period = 100.

%H V. Raman and Vincenzo Librandi, <a href="/A216096/b216096.txt">Table of n, a(n) for n = 0..1000</a> (first 100 terms from V. Raman)

%t PowerMod[3, Range[0, 100], 1000] (* _Vincenzo Librandi_, Aug 16 2016 *)

%o (PARI) a(n) = lift(Mod(3, 1000)^n); \\ _Michel Marcus_, Aug 16 2016

%o (Magma) [Modexp(3, n, 1000): n in [0..110]]; // _Vincenzo Librandi_, Aug 16 2016

%Y Cf. A001148, A001218, A216097.

%K nonn,easy

%O 0,2

%A _V. Raman_, Sep 01 2012

%E Definition corrected by _Zak Seidov_, Jul 27 2014

%E Offset changed and a(0) = 1 prepended by _Vincenzo Librandi_, Aug 16 2016