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a(n)=A005374(n)-floor(r*n) where r is the positive root of x^3+x-1=0.
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%I #6 Mar 30 2012 18:39:17

%S 0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,

%T 0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,1,1,1,0,1,

%U 0,0,1,0,0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1

%N a(n)=A005374(n)-floor(r*n) where r is the positive root of x^3+x-1=0.

%F It seems that sum(k=1, n, a(k)) is asymptotic to C*n where C=0.53...>1/2

%K nonn

%O 0,1

%A _Benoit Cloitre_, Apr 15 2003