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MOC
2010
13 years 6 months ago
Midpoint criteria for solving Pell's equation using the nearest square continued fraction
We derive midpoint criteria for solving Pell's equation x2 -Dy2 =
Keith R. Matthews, John P. Robertson, Jim White
COMBINATORICS
1999
85views more  COMBINATORICS 1999»
13 years 11 months ago
Permutation Patterns and Continued Fractions
We find, in the form of a continued fraction, the generating function for the number of (132)-avoiding permutations that have a given number of (123) patterns, and show how to ext...
Aaron Robertson, Herbert S. Wilf, Doron Zeilberger
ADCM
1998
94views more  ADCM 1998»
13 years 11 months ago
On a vector q-d algorithm
Using the framework provided by Clifford algebras, we consider a noncommutative quotient-difference algorithm for obtaining the elements of a continued fraction corresponding to...
D. E. Roberts
COMBINATORICS
2000
128views more  COMBINATORICS 2000»
13 years 11 months ago
Continued Fractions and Catalan Problems
We find a generating function expressed as a continued fraction that enumerates ordered trees by the number of vertices at different levels. Several Catalan problems are mapped to...
Mahendra Jani, Robert G. Rieper