Geodesic
Sloping binary numbers: a new sequence related to the binary numbers
Journal of integer sequences, Tome 8 (2005) no. 3
If the list of binary numbers is read by upward-sloping diagonals, the resulting "sloping binary numbers" 0, 11, 110, 101, 100, 1111, 1010,$ \dots $(or 0, 3, 6, 5, 4, 15, 10,$ \dots $) have some surprising properties. We give formulae for the $n$th term and the $n$th missing term, and discuss a number of related sequences.
Classification : 11B83, 11A99, 11B37
Keywords: binary numbers, integer sequences, permutations of integers 
@article{JIS_2005__8_3_a3,
     author = {Applegate,  David and Cloitre,  Benoit and Del\'eham,  Philippe and Sloane,  N.J.A.},
     title = {Sloping binary numbers: a new sequence related to the binary numbers},
     journal = {Journal of integer sequences},
     year = {2005},
     volume = {8},
     number = {3},
     zbl = {1106.11007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2005__8_3_a3/}
}
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Applegate,  David; Cloitre,  Benoit; Deléham,  Philippe; Sloane,  N.J.A. Sloping binary numbers: a new sequence related to the binary numbers. Journal of integer sequences, Tome 8 (2005) no. 3. http://geodesic.mathdoc.fr/item/JIS_2005__8_3_a3/