

A296355


True position where binary expansion of n starts in the list of binary numbers in the binary Champernowne sequence A076478.


4



0, 1, 1, 5, 1, 6, 5, 20, 1, 17, 15, 6, 8, 5, 20, 63, 9, 1, 22, 17, 15, 55, 6, 25, 8, 21, 48, 5, 20, 27, 63, 174, 9, 111, 51, 1, 41, 22, 70, 17, 49, 15, 74, 55, 6, 154, 25, 78, 8, 65, 21, 59, 48, 73, 5, 28, 31, 20, 135, 27, 63, 89, 174, 445, 33, 9, 120, 111, 66
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OFFSET

0,4


COMMENTS

A296354(n) is the official position where the binary expansion of n appears in A076478, but the binary expansion of n may also appear earlier, by accident, and it is that starting position that is listed here.
In fact every number > 1 appears earlier  see A296356 for the proof.


LINKS



EXAMPLE

Here is the list A076478 broken up to show the successive binary numbers (the indexing starts at 0):
0,
1,
0,0,
0,1,
1,0,
1,1,
0,0,0,
0,0,1,
0,1,0,
0,1,1,
1,0,0,
1,0,1,
...
2 = 1,0 officially starts at position 6, so A076478(2) = 6, but 1,0 actually can be seen starting at position 1, so a(2) = 1.
4 = 1,0,0 officially starts at position 22, so A076478(4) = 22, but 1,0,0 actually can be seen starting at position 1, so a(4) = 1.


CROSSREFS



KEYWORD



AUTHOR



EXTENSIONS



STATUS

approved



