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%I #27 Feb 19 2024 10:25:57
%S 1,5,25,125,625,3125,5625,8125,625,3125,5625,8125,625,3125,5625,8125,
%T 625,3125,5625,8125,625,3125,5625,8125,625,3125,5625,8125,625,3125,
%U 5625,8125,625,3125,5625,8125,625,3125,5625,8125,625,3125,5625,8125,625,3125,5625
%N a(n) = 5^n mod 10000.
%C Period = 4.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1).
%F a(n) = 625*A070370(n) for n>=4.
%F G.f.: (-8000*x^7-5600*x^6-3120*x^5-624*x^4-125*x^3-25*x^2-5*x-1)/(x^4-1). - _Bruno Berselli_, Sep 03 2012
%t PowerMod[5, Range[0, 100], 10^4] (* _Paolo Xausa_, Feb 19 2024 *)
%Y Cf. A070370.
%K nonn,easy,less
%O 0,2
%A _V. Raman_, Sep 01 2012