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A160692 Iteration of (k terms=k, followed by 2^k-k terms=0), beginning with k=0. 3

%I #2 Mar 30 2012 18:51:04

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

%T 5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,6,

%U 6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0

%N Iteration of (k terms=k, followed by 2^k-k terms=0), beginning with k=0.

%C For n with 2^k - 1 <= n < 2^k + k-1: a(n) = k;

%C for n with 2^k + k-1 <= n < 2^(k+1) - 1: a(n) = 0.

%F a(n) = f(n,0) with f(n,k) = if n<2^k then (if n<k then k else 0) else f(n-2^k,k+1).

%Y A000225, A083706, A052944, A000918.

%K nonn,tabf

%O 0,4

%A _Reinhard Zumkeller_, May 24 2009

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