Sloping Binary Numbers: A New Sequence Related to the Binary Numbers
数论
2016-08-16 v1 组合数学
摘要
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.
引用
@article{arxiv.math/0505295,
title = {Sloping Binary Numbers: A New Sequence Related to the Binary Numbers},
author = {David Applegate and Benoit Cloitre and Philippe Deléham and N. J. A. Sloane},
journal= {arXiv preprint arXiv:math/0505295},
year = {2016}
}
备注
14 pages, 3 tables