Search: id:A152889
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%I A152889
%S A152889 1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,
%T A152889 1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,
%U A152889 1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,1,0,4,0,0,1,0,4,0,0
%N A152889 Periodic sequence [1,0,4,0,0] of period 5
%F A152889 a(n+5) = a(n) with a(0) = 1, a(2) = a(3) = a(4) = 0 and a(2) = 4 ; o.g;
               f f(z) = ((1+4z^2)/(1-z^5)) ; a(n) = 1-2/5*5^(1/2)*cos(2*n*Pi/5)+2/
               5*2^(1/2)*(5-5^(1/2))^(1/2)*sin(2*n*Pi/5)+2/5*5^(1/2)*cos(4*n*Pi/
               5)-2/5*2^(1/2)*(5+5^(1/2))^(1/2)*sin(4*n*Pi/5)
%F A152889 a(n)=(1/10)*{-(n mod 5)+[(n+2) mod 5]+9*[(n+2) mod 5]-7*[(n+3) mod 5]+3*[(n+4) 
               mod 5]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 09 2009]
%Y A152889 A026048
%Y A152889 Sequence in context: A013334 A156393 A096623 this_sequence A151905 A078669 
               A046783
%Y A152889 Adjacent sequences: A152886 A152887 A152888 this_sequence A152890 A152891 
               A152892
%K A152889 easy,nonn
%O A152889 0,3
%A A152889 Richard Choulet (richardchoulet(AT)yahoo.fr), Dec 14 2008
%E A152889 More terms from Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 29 2008

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