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A fractal sequence.
11

%I #8 Mar 30 2012 18:39:18

%S 1,1,0,0,1,1,2,4,5,5,6,6,5,5,6,6,5,5,4,2,1,1,0,0,1,1,0,0,1,1,2,4,5,5,

%T 6,6,5,5,6,6,7,9,10,10,11,13,14,16,19,21,22,24,25,25,26,28,29,29,30,

%U 30,29,29,30,30,31,33,34,34,35,35,34,34,35,35,34,34,33,31,30,30,29,29,30,30

%N A fractal sequence.

%C Sequence presents fractal patterns.

%H Boris Gourevitch, <a href="http://membres.lycos.fr/bgourevitch/temporaires/benoit/sqrt2fractal.jpg">Graph of a(n)</a>.

%F a(n)=sum(k=1, n, A083037(k))

%F a(2*A001109(n)-1)=A001109(n) - _Benoit Cloitre_, Dec 12 2003

%Y Cf. A083035, A083036, A083037, A071992 (which presents similar fractal aspects).

%K nonn

%O 1,7

%A _Benoit Cloitre_, Apr 17 2003