Refined convergents to the associated continued fractions for binary sequences

1994 ◽  
Vol 10 (2) ◽  
pp. 179-191
Author(s):  
Dai Zongduo ◽  
Zeng Kencheng
Keyword(s):  
Continued Fractions ◽  
Binary Sequences ◽  
Associated Continued Fractions

scholarly journals ARBITRARY ORDER RECURSIVE SEQUENCES AND ASSOCIATED CONTINUED FRACTIONS

2017 ◽  
Vol 13 (2) ◽  
pp. 7147-7154
Author(s):  
Anthony G Shannon ◽  
Charles K Cook b ◽  
Rebecca A. Hillman c
Keyword(s):  
Continued Fractions ◽  
Arbitrary Order ◽  
Fibonacci Numbers ◽  
Recursive Sequences ◽  
Essential Idea ◽  
Associated Continued Fractions ◽  
Generalized Continued Fractions

The essential idea in this paper it to generalize and synthesize some of the pioneering ideas of Bernstein, Lucas and Horadam on generalizations of basic and primordial Fibonacci numbers and their arbitrary order generalizations and their relation to generalized continued fractions with matrices as the unifying elements.

Continued Logarithms and Associated Continued Fractions

2016 ◽  
Vol 26 (4) ◽  
pp. 412-429
Author(s):  
Jonathan M. Borwein ◽  
Neil J. Calkin ◽  
Scott B. Lindstrom ◽  
Andrew Mattingly
Keyword(s):  
Continued Fractions ◽  
Associated Continued Fractions
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