Sloping Binary Numbers: A New Sequence Related to the Binary Numbers

نویسندگان

  • David Applegate
  • Benoit Cloitre
چکیده

If the list of binary numbers is read by upward-sloping diagonals, the resulting “sloping binary numbers” 0, 11, 110, 101, 100, 1111, 1010, . . . (or 0, 3, 6, 5, 4, 15, 10, . . .) 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. (1) To whom correspondence should be addressed.

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تاریخ انتشار 2005