120
Voted
MOC
2010
14 years 10 months ago
2010
We derive midpoint criteria for solving Pell's equation x2 -Dy2 =
145
Voted
COMBINATORICS
1999
15 years 3 months ago
1999
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...
131
Voted
ADCM
1998
15 years 3 months ago
1998
Using the framework provided by Clifford algebras, we consider a noncommutative quotient-difference algorithm for obtaining the elements of a continued fraction corresponding to...
132
Voted
COMBINATORICS
2000
15 years 3 months ago
2000
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...