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10

MOC
2010

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Midpoint criteria for solving Pell's equation using the nearest square continued fraction

12 years 11 months ago

$Midpoint criteria for solving Pell's equation using the nearest square continued fraction$

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We derive midpoint criteria for solving Pell's equation x2 -Dy2 =

Keith R. Matthews, John P. Robertson, Jim White

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15

COMBINATORICS
1999

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Permutation Patterns and Continued Fractions

13 years 4 months ago

Permutation Patterns and Continued Fractions

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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

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18

ADCM
1998

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On a vector q-d algorithm

13 years 4 months ago

On a vector q-d algorithm

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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

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18

COMBINATORICS
2000

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Continued Fractions and Catalan Problems

13 years 4 months ago

Continued Fractions and Catalan Problems

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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

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