%I #22 Dec 30 2023 23:49:13
%S 0,2,1,2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,
%T 0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,
%U 2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,0,0,2,1,2,0
%N a(n) = (n^2+n) modulo 5.
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,1).
%F From _Bruno Berselli_, Dec 02 2010: (Start)
%F G.f.: x*(2+x+2*x^2)/(1-x^5);
%F a(n) = a(n-5) for n > 4. (End)
%t Table[Mod[n^2+n,5],{n,0,110}] (* or *) PadRight[{},120,{0,2,1,2,0}] (* _Harvey P. Dale_, Sep 12 2017 *)
%o (Magma) [(n^2+n) mod 5 : n in [0..100]]; // _Wesley Ivan Hurt_, Apr 20 2021
%Y Cf. A053793.
%K nonn,easy
%O 0,2
%A Stuart M. Ellerstein (ellerstein(AT)aol.com), Mar 27 2000
%E More terms from _James A. Sellers_, Apr 08 2000