%I A008960
%S A008960 0,1,8,7,4,5,6,3,2,9,0,1,8,7,4,5,6,3,2,9,0,1,8,7,4,5,6,
%T A008960 3,2,9,0,1,8,7,4,5,6,3,2,9,0,1,8,7,4,5,6,3,2,9,0,1,8,7,
%U A008960 4,5,6,3,2,9,0,1,8,7,4,5,6,3,2,9,0,1,8,7,4,5,6,3,2,9,0
%N A008960 Final digits of cubes.
%C A008960 n^3 mod 10. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 
               29 2009]
%H A008960 <a href="Sindx_Fi.html#final">Index entries for sequences related to 
               final digits of numbers</a>
%F A008960 Periodic with period 10. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), 
               Mar 13 2006
%F A008960 a(n)=1/5*{5*(n mod 10)-3*[(n+1) mod 10]+[(n+2) mod 10]+2*[(n+3) mod 10]+2*[(n+6) 
               mod 10]+[(n+7) mod 10]-3*[(n+8) mod 10]} with n>=0 - Paolo P. Lava 
               (ppl(AT)spl.at), Nov 24 2006
%F A008960 a(n) = 4.5 - cos(Pi*n/5) + (1/2*( - (5 - 5^(1/2))^(1/2) + (5 + 5^(1/2))^(1/
               2))*2^(1/2))*sin(Pi*n/5) - cos(2*Pi*n/5) + ( - 1/10*( - (5 - 5^(1/
               2))^(1/2) + 3*(5 + 5^(1/2))^(1/2))*2^(1/2))*sin(2*Pi*n/5) - cos(3*Pi*n/
               5) + ( - 1/2*((5 - 5^(1/2))^(1/2) + (5 + 5^(1/2))^(1/2))*2^(1/2))*sin(3*Pi*n/
               5) - cos(4*Pi*n/5) + ( - 1/10*(3*(5 - 5^(1/2))^(1/2) + (5 + 5^(1/
               2))^(1/2))*2^(1/2))*sin(4*Pi*n/5) - 0.5*( - 1)^n [From Richard Choulet 
               (richardchoulet(AT)yahoo.fr), Dec 12 2008]
%o A008960 (Other) sage: [power_mod(n,3,10 )for n in xrange(0, 81)] # [From Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Oct 29 2009]
%Y A008960 Sequence in context: A072102 A154815 A085848 this_sequence A077744 A111448 
               A070482
%Y A008960 Adjacent sequences: A008957 A008958 A008959 this_sequence A008961 A008962 
               A008963
%K A008960 nonn,easy,base
%O A008960 0,3
%A A008960 N. J. A. Sloane (njas(AT)research.att.com).