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

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

2005-05-13

arxiv.org/abs/math/0505295v1

Mathematics

Number Theory

14 pages, 3 tables

Scientific paper

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.

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