%I A004757
%S A004757 5,10,11,20,21,22,23,40,41,42,43,44,45,46,47,80,81,82,83,84,85,86,87,88,
%T A004757 89,90,91,92,93,94,95,160,161,162,163,164,165,166,167,168,169,170,171,
%U A004757 172,173,174,175,176,177,178,179,180,181,182,183,184,185
%N A004757 Binary expansion starts 101.
%F A004757 a(2n) = 2a(n), a(2n+1) = 2a(n) + 1 + 4[n==0].
%F A004757 a(n) = n + 4 * 2^floor(log2(n)) = A004756(n) + A053644(n).
%e A004757 22 in binary is 10110, so 22 is in sequence.
%o A004757 (PARI) a(n)=n+4*2^floor(log(n)/log(2))
%Y A004757 Cf. A004754 (10), A004755 (11), A004756 (100), A004758 (110), A004759 
               (111).
%Y A004757 Cf. A004760, A053644, A062050, A076877.
%Y A004757 Sequence in context: A136824 A136822 A120513 this_sequence A007527 A033894 
               A033649
%Y A004757 Adjacent sequences: A004754 A004755 A004756 this_sequence A004758 A004759 
               A004760
%K A004757 nonn
%O A004757 1,1
%A A004757 N. J. A. Sloane (njas(AT)research.att.com).
%E A004757 Edited by Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 12 2003