Generalized Fibonacci recurrences and the lex-least De Bruijn sequence

Autor:	Cooper, Joshua, Heitsch, Christine E.
Rok vydání:	2010
Předmět:	Mathematics - Combinatorics 05A15
Druh dokumentu:	Working Paper
Popis:	The skew of a binary string is the difference between the number of zeroes and the number of ones, while the length of the string is the sum of these two numbers. We consider certain suffixes of the lexicographically-least de Bruijn sequence at natural breakpoints of the binary string. We show that the skew and length of these suffixes are enumerated by sequences generalizing the Fibonacci and Lucas numbers, respectively. Comment: 10 pages, 1 figure, 2 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1003.5939 Zobrazit plný text záznamu View this record from Arxiv