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a(0) = 0; a(n) = a(n/2)/2 if n = a(n/2) = 0 (mod 2); a(n) = a(n-1)+1 otherwise.
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%I #5 Mar 30 2012 18:35:25

%S 0,1,2,3,1,2,3,4,5,6,1,2,3,4,2,3,4,5,3,4,5,6,1,2,3,4,2,3,1,2,3,4,2,3,

%T 4,5,6,7,2,3,4,5,3,4,5,6,1,2,3,4,2,3,1,2,3,4,5,6,1,2,3,4,2,3,1,2,3,4,

%U 2,3,4,5,3,4,5,6,1,2,3,4,2,3,4,5,6,7,2,3,4,5,3,4,5,6,1,2,3,4,2,3,1,2,3,4,5,6,1,2

%N a(0) = 0; a(n) = a(n/2)/2 if n = a(n/2) = 0 (mod 2); a(n) = a(n-1)+1 otherwise.

%K nonn

%O 0,3

%A _David W. Wilson_

%E Bounded, maximum is a(37) = 7.