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Replace each 1 with 10 in binary representation of n.
3

%I #13 May 20 2021 18:37:25

%S 0,2,4,10,8,18,20,42,16,34,36,74,40,82,84,170,32,66,68,138,72,146,148,

%T 298,80,162,164,330,168,338,340,682,64,130,132,266,136,274,276,554,

%U 144,290,292,586,296,594,596,1194,160,322,324,650,328,658,660,1322,336,674

%N Replace each 1 with 10 in binary representation of n.

%C A070939(a(n)) = A056791(n);

%C A023416(a(n)) = A023416(n) + A000120(n); A000120(a(n)) = A000120(n).

%H Reinhard Zumkeller, <a href="/A124108/b124108.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

%t Table[FromDigits[Flatten[IntegerDigits[n,2]/.(1->{1,0})],2],{n,0,60}] (* _Harvey P. Dale_, May 20 2021 *)

%o (Haskell)

%o a124108 0 = 0

%o a124108 x = 2 * (b + 1) * a124108 x' + (b * 2)

%o where (x', b) = divMod x 2

%o -- _Reinhard Zumkeller_, Mar 31 2015

%Y Cf. A023416, A000120, A056791, A070939, A048678, A007088.

%K nonn

%O 0,2

%A _Reinhard Zumkeller_, Nov 26 2006

%E Offset fixed by _Reinhard Zumkeller_, Mar 31 2015