%I #7 Feb 14 2020 18:55:30
%S 0,1,1,2,0,2,0,3,0,1,2,3,0,1,2,4,0,1,1,2,0,3,0,4,0,1,1,2,0,3,0,5,0,1,
%T 1,2,0,2,0,3,0,1,3,4,0,1,1,5,0,1,1,2,0,2,0,3,0,1,3,4,0,1,1,6,0,1,1,2,
%U 0,2,0,3,0,1,2,3,0,1,3,4,0,1,1,2,0,4,0,5,0,1,1,2,0,2,0,6,0,1,1,2,0,2,0,3,0
%N a(n) = A007814(A087808(n)).
%H Antti Karttunen, <a href="/A332447/b332447.txt">Table of n, a(n) for n = 1..65537</a>
%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%F a(n) = A007814(A087808(n)).
%F For n >= 0, a(2^n) = n. [These are the first occurrences of each n]
%o (PARI)
%o A087808(n) = if(n<1, 0, if(n%2==0, 2*A087808(n/2), A087808((n-1)/2)+1));
%o A332447(n) = valuation(A087808(n),2);
%Y Cf. A007814, A087808, A332448.
%Y Cf. A000079 (positions of records), A079523 (of zeros).
%K nonn
%O 1,4
%A _Antti Karttunen_, Feb 14 2020