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%I #17 Jun 05 2016 02:03:14
%S 0,1,4,9,6,5,6,1,6,1,0,1,6,1,6,5,6,1,6,1,0,1,6,1,6,5,6,1,6,1,0,1,6,1,
%T 6,5,6,1,6,1,0,1,6,1,6,5,6,1,6,1,0,1,6,1,6,5,6,1,6,1,0,1,6,1,6,5,6,1,
%U 6,1,0,1,6,1,6,5,6,1,6,1,0,1,6,1,6
%N a(n) = n^n! (mod 10)
%C Periodic for n>3. Repeat: [6, 5, 6, 1, 6, 1, 0, 1, 6, 1]
%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,1).
%F G.f.: x*(8*x^12 - 2*x^11 - x^8 - 6*x^7 - x^6 - 6*x^5 - 5*x^4 - 6*x^3 - 9*x^2 - 4*x - 1)/(x^10 - 1). - _Chai Wah Wu_, Jun 04 2016
%t Table[PowerMod[n,n!,10],{n,0,84}]
%K nonn,easy
%O 0,3
%A _José María Grau Ribas_, Jan 21 2012
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